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2550642552 = 23323110692
BaseRepresentation
bin1001100000000111…
…1011011101111000
320120202111001210200
42120001323131320
520210431030202
61101033042200
7120131050443
oct23001733570
96522431720
102550642552
111099853557
125b2256360
13318581163
141a2a7465a
15eddd0e1c
hex9807b778

2550642552 has 72 divisors (see below), whose sum is σ = 7137505440. Its totient is φ = 822018240.

The previous prime is 2550642551. The next prime is 2550642559. The reversal of 2550642552 is 2552460552.

2550642552 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 642 + 5 + 5 + 2 = 666.

2550642552 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2550642551) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2385474 + ... + 2386542.

It is an arithmetic number, because the mean of its divisors is an integer number (99132020).

Almost surely, 22550642552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2550642552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568752720).

2550642552 is an abundant number, since it is smaller than the sum of its proper divisors (4586862888).

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

2550642552 is a wasteful number, since it uses less digits than its factorization.

2550642552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 2550642552 is about 50503.8865039118. The cubic root of 2550642552 is about 1366.3119504034.

The spelling of 2550642552 in words is "two billion, five hundred fifty million, six hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1069 1116 2138 2232 3207 4276 6414 8552 9621 12828 19242 25656 33139 38484 66278 76968 99417 132556 198834 265112 298251 397668 596502 795336 1142761 1193004 2285522 2386008 3428283 4571044 6856566 9142088 10284849 13713132 20569698 27426264 35425591 41139396 70851182 82278792 106276773 141702364 212553546 283404728 318830319 425107092 637660638 850214184 1275321276 2550642552