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152565056 = 2672911743
BaseRepresentation
bin10010001011111…
…11010101000000
3101122002002220122
421011333111000
5303024040211
623045555412
73531532040
oct1105772500
9348062818
10152565056
1179134426
1243115b68
13257b95a7
1416395720
15d5d96db
hex917f540

152565056 has 56 divisors (see below), whose sum is σ = 357957120. Its totient is φ = 63124992.

The previous prime is 152565053. The next prime is 152565071. The reversal of 152565056 is 650565251.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152565053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7121 + ... + 18863.

Almost surely, 2152565056 is an apocalyptic number.

152565056 is a gapful number since it is divisible by the number (16) 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 152565056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178978560).

152565056 is an abundant number, since it is smaller than the sum of its proper divisors (205392064).

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

152565056 is a wasteful number, since it uses less digits than its factorization.

152565056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11791 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The square root of 152565056 is about 12351.7227948169. The cubic root of 152565056 is about 534.3408261538.

The spelling of 152565056 in words is "one hundred fifty-two million, five hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 11743 12992 23486 46972 82201 93944 164402 187888 328804 340547 375776 657608 681094 751552 1315216 1362188 2383829 2630432 2724376 4767658 5260864 5448752 9535316 10897504 19070632 21795008 38141264 76282528 152565056