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157057335 = 32511633001
BaseRepresentation
bin10010101110010…
…00000100110111
3101221112100011100
421113020010313
5310201313320
623330141143
73614652051
oct1127100467
9357470140
10157057335
1180722556
12447217b3
1326700246
1416c048d1
15dbc5790
hex95c8137

157057335 has 24 divisors (see below), whose sum is σ = 272557584. Its totient is φ = 83664000.

The previous prime is 157057319. The next prime is 157057349. The reversal of 157057335 is 533750751.

It is a happy number.

157057335 is a `hidden beast` number, since 1 + 57 + 0 + 573 + 35 = 666.

It is not a de Polignac number, because 157057335 - 24 = 157057319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157057335.

It is a congruent number.

It is an unprimeable number.

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, 50835 + ... + 53835.

It is an arithmetic number, because the mean of its divisors is an integer number (11356566).

Almost surely, 2157057335 is an apocalyptic number.

157057335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157057335 is a deficient number, since it is larger than the sum of its proper divisors (115500249).

157057335 is a wasteful number, since it uses less digits than its factorization.

157057335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 55125, while the sum is 36.

The square root of 157057335 is about 12532.2517928743. The cubic root of 157057335 is about 539.5347329833.

The spelling of 157057335 in words is "one hundred fifty-seven million, fifty-seven thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 45 1163 3001 3489 5815 9003 10467 15005 17445 27009 45015 52335 135045 3490163 10470489 17450815 31411467 52352445 157057335