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2552705232 = 2437112330029
BaseRepresentation
bin1001100000100111…
…0011000011010000
320120220100212021020
42120021303003100
520211443031412
61101145155440
7120154431210
oct23011630320
96526325236
102552705232
11109aa32250
125b2a8bb80
13318b23c8c
141a3050240
15ee18c18c
hex982730d0

2552705232 has 160 divisors (see below), whose sum is σ = 8579450880. Its totient is φ = 634191360.

The previous prime is 2552705213. The next prime is 2552705237. The reversal of 2552705232 is 2325072552.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2552705193 and 2552705202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552705237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69994 + ... + 100022.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 22552705232 is an apocalyptic number.

2552705232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552705232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2552705232 is an abundant number, since it is smaller than the sum of its proper divisors (6026745648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2552705232 is a wasteful number, since it uses less digits than its factorization.

2552705232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30081 (or 30075 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 2552705232 is about 50524.3033796608. The cubic root of 2552705232 is about 1366.6801589256.

Adding to 2552705232 its reverse (2325072552), we get a palindrome (4877777784).

The spelling of 2552705232 in words is "two billion, five hundred fifty-two million, seven hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 84 88 92 112 132 138 154 161 168 176 184 231 253 264 276 308 322 336 368 462 483 506 528 552 616 644 759 924 966 1012 1104 1232 1288 1518 1771 1848 1932 2024 2576 3036 3542 3696 3864 4048 5313 6072 7084 7728 10626 12144 14168 21252 28336 30029 42504 60058 85008 90087 120116 180174 210203 240232 330319 360348 420406 480464 630609 660638 690667 720696 840812 990957 1261218 1321276 1381334 1441392 1681624 1981914 2072001 2312233 2522436 2642552 2762668 3363248 3963828 4144002 4624466 4834669 5044872 5285104 5525336 6936699 7597337 7927656 8288004 9248932 9669338 10089744 11050672 13873398 14504007 15194674 15855312 16576008 18497864 19338676 22792011 27746796 29008014 30389348 33152016 36995728 38677352 45584022 53181359 55493592 58016028 60778696 77354704 91168044 106362718 110987184 116032056 121557392 159544077 182336088 212725436 232064112 319088154 364672176 425450872 638176308 850901744 1276352616 2552705232