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157164544 = 210314951
BaseRepresentation
bin10010101111000…
…10010000000000
3101221201210020001
421113202100000
5310213231134
623332325344
73615606445
oct1127422000
9357653201
10157164544
1180796059
1244773854
1326739c94
1416c319cc
15dbe7414
hex95e2400

157164544 has 44 divisors (see below), whose sum is σ = 324375808. Its totient is φ = 76032000.

The previous prime is 157164533. The next prime is 157164551. The reversal of 157164544 is 445461751.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29269 + ... + 34219.

Almost surely, 2157164544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162187904).

157164544 is an abundant number, since it is smaller than the sum of its proper divisors (167211264).

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

157164544 is an equidigital number, since it uses as much as digits as its factorization.

157164544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4984 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The square root of 157164544 is about 12536.5283870775. The cubic root of 157164544 is about 539.6574691012.

The spelling of 157164544 in words is "one hundred fifty-seven million, one hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 3968 4951 7936 9902 15872 19804 31744 39608 79216 153481 158432 306962 316864 613924 633728 1227848 1267456 2455696 2534912 4911392 5069824 9822784 19645568 39291136 78582272 157164544