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252704088 = 233271338569
BaseRepresentation
bin11110000111111…
…11010101011000
3122121111200211200
433003333111120
51004143012323
641024154200
76155643420
oct1703772530
9577450750
10252704088
1111a71035a
1270768960
134047b460
14257c1480
15172ba443
hexf0ff558

252704088 has 96 divisors (see below), whose sum is σ = 842368800. Its totient is φ = 66645504.

The previous prime is 252704083. The next prime is 252704093. The reversal of 252704088 is 880407252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252704083) and next prime (252704093).

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 (252704083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12733 + ... + 25836.

It is an arithmetic number, because the mean of its divisors is an integer number (8774675).

Almost surely, 2252704088 is an apocalyptic number.

252704088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252704088 is an abundant number, since it is smaller than the sum of its proper divisors (589664712).

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

252704088 is a wasteful number, since it uses less digits than its factorization.

252704088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38601 (or 38594 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 252704088 is about 15896.6690850631. The cubic root of 252704088 is about 632.2236763688.

The spelling of 252704088 in words is "two hundred fifty-two million, seven hundred four thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 38569 77138 115707 154276 231414 269983 308552 347121 462828 501397 539966 694242 809949 925656 1002794 1079932 1388484 1504191 1619898 2005588 2159864 2429847 2776968 3008382 3239796 3509779 4011176 4512573 4859694 6016764 6479592 7019558 9025146 9719388 10529337 12033528 14039116 18050292 19438776 21058674 28078232 31588011 36100584 42117348 63176022 84234696 126352044 252704088