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157697376 = 25311314537
BaseRepresentation
bin10010110011001…
…00010101100000
3101222201212010120
421121210111200
5310332304001
623352000240
73623256054
oct1131442540
9358655116
10157697376
118101a411
1244990080
1326895675
1416d2dc64
15dca0236
hex9664560

157697376 has 48 divisors (see below), whose sum is σ = 417647664. Its totient is φ = 52097024.

The previous prime is 157697333. The next prime is 157697377. The reversal of 157697376 is 673796751.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157697377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3580 + ... + 18116.

It is an arithmetic number, because the mean of its divisors is an integer number (8700993).

Almost surely, 2157697376 is an apocalyptic number.

157697376 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 157697376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208823832).

157697376 is an abundant number, since it is smaller than the sum of its proper divisors (259950288).

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

157697376 is a wasteful number, since it uses less digits than its factorization.

157697376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14663 (or 14655 counting only the distinct ones).

The product of its digits is 1666980, while the sum is 51.

The square root of 157697376 is about 12557.7615839767. The cubic root of 157697376 is about 540.2666447188.

The spelling of 157697376 in words is "one hundred fifty-seven million, six hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 14537 29074 43611 58148 87222 116296 174444 232592 348888 465184 697776 1395552 1642681 3285362 4928043 6570724 9856086 13141448 19712172 26282896 39424344 52565792 78848688 157697376