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157923392 = 2611220393
BaseRepresentation
bin10010110100110…
…11100001000000
3102000011100011112
421122123201000
5310412022032
623400502452
73625220024
oct1132334100
9360140145
10157923392
1181164200
1244a7aa28
13269444c3
1416d8c384
15dce71b2
hex969b840

157923392 has 42 divisors (see below), whose sum is σ = 344475054. Its totient is φ = 71779840.

The previous prime is 157923379. The next prime is 157923397. The reversal of 157923392 is 293329751.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 136983616 + 20939776 = 11704^2 + 4576^2 .

It is not an unprimeable number, because it can be changed into a prime (157923397) 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 5 ways as a sum of consecutive naturals, for example, 2453 + ... + 17940.

It is an arithmetic number, because the mean of its divisors is an integer number (8201787).

Almost surely, 2157923392 is an apocalyptic number.

It is an amenable number.

157923392 is an abundant number, since it is smaller than the sum of its proper divisors (186551662).

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

157923392 is a wasteful number, since it uses less digits than its factorization.

157923392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20427 (or 20406 counting only the distinct ones).

The product of its digits is 102060, while the sum is 41.

The square root of 157923392 is about 12566.7574178863. The cubic root of 157923392 is about 540.5246295987.

The spelling of 157923392 in words is "one hundred fifty-seven million, nine hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 20393 40786 81572 163144 224323 326288 448646 652576 897292 1305152 1794584 2467553 3589168 4935106 7178336 9870212 14356672 19740424 39480848 78961696 157923392