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157245957 = 32111983597
BaseRepresentation
bin10010101111101…
…10001000000101
3101221212220220100
421113312020011
5310223332312
623334154313
73616366011
oct1127661005
9357786810
10157245957
1180841240
12447b2999
132676805b
1416c53541
15dc115dc
hex95f6205

157245957 has 24 divisors (see below), whose sum is σ = 260825760. Its totient is φ = 90283680.

The previous prime is 157245943. The next prime is 157245989. The reversal of 157245957 is 759542751.

157245957 is a `hidden beast` number, since 1 + 57 + 2 + 4 + 595 + 7 = 666.

It is not a de Polignac number, because 157245957 - 216 = 157180421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157245157) 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 23 ways as a sum of consecutive naturals, for example, 39918 + ... + 43679.

It is an arithmetic number, because the mean of its divisors is an integer number (10867740).

Almost surely, 2157245957 is an apocalyptic number.

It is an amenable number.

157245957 is a deficient number, since it is larger than the sum of its proper divisors (103579803).

157245957 is a wasteful number, since it uses less digits than its factorization.

157245957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83633 (or 83630 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 157245957 is about 12539.7749979814. The cubic root of 157245957 is about 539.7506358938.

It can be divided in two parts, 1572459 and 57, that added together give a square (1572516 = 12542).

The spelling of 157245957 in words is "one hundred fifty-seven million, two hundred forty-five thousand, nine hundred fifty-seven".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 83597 250791 752373 919567 1588343 2758701 4765029 8276103 14295087 17471773 52415319 157245957