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157242912 = 2533152837
BaseRepresentation
bin10010101111101…
…01011000100000
3101221212202201120
421113311120200
5310223233122
623334132240
73616354101
oct1127653040
9357782646
10157242912
1180839a22
12447b1080
1326766858
1416c523a8
15dc1075c
hex95f5620

157242912 has 48 divisors (see below), whose sum is σ = 426085632. Its totient is φ = 50722560.

The previous prime is 157242893. The next prime is 157242929. The reversal of 157242912 is 219242751.

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

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 7 ways as a sum of consecutive naturals, for example, 23443 + ... + 29394.

It is an arithmetic number, because the mean of its divisors is an integer number (8876784).

Almost surely, 2157242912 is an apocalyptic number.

157242912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157242912 is an abundant number, since it is smaller than the sum of its proper divisors (268842720).

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

157242912 is a wasteful number, since it uses less digits than its factorization.

157242912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52881 (or 52873 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 157242912 is about 12539.6535837319. The cubic root of 157242912 is about 539.7471518587.

The spelling of 157242912 in words is "one hundred fifty-seven million, two hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 52837 105674 158511 211348 317022 422696 634044 845392 1268088 1637947 1690784 2536176 3275894 4913841 5072352 6551788 9827682 13103576 19655364 26207152 39310728 52414304 78621456 157242912