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157156464 = 24337107827
BaseRepresentation
bin10010101111000…
…00010001110000
3101221201101010210
421113200101300
5310213001324
623332224120
73615544053
oct1127402160
9357641123
10157156464
118078aa83
124476b040
13267363ba
1416c2ca9a
15dbe4d29
hex95e0470

157156464 has 80 divisors (see below), whose sum is σ = 421365888. Its totient is φ = 50432256.

The previous prime is 157156459. The next prime is 157156499. The reversal of 157156464 is 464651751.

It is a super-3 number, since 3×1571564643 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 189619 + ... + 190445.

Almost surely, 2157156464 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 157156464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210682944).

157156464 is an abundant number, since it is smaller than the sum of its proper divisors (264209424).

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

157156464 is a wasteful number, since it uses less digits than its factorization.

157156464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 157156464 is about 12536.2061246615. The cubic root of 157156464 is about 539.6482208171.

The spelling of 157156464 in words is "one hundred fifty-seven million, one hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 107 111 148 214 222 296 321 428 444 592 642 827 856 888 1284 1654 1712 1776 2481 2568 3308 3959 4962 5136 6616 7918 9924 11877 13232 15836 19848 23754 30599 31672 39696 47508 61198 63344 88489 91797 95016 122396 176978 183594 190032 244792 265467 353956 367188 489584 530934 707912 734376 1061868 1415824 1468752 2123736 3274093 4247472 6548186 9822279 13096372 19644558 26192744 39289116 52385488 78578232 157156464