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157072496 = 2474753563
BaseRepresentation
bin10010101110010…
…11110001110000
3101221120002221212
421113023301300
5310202304441
623330335252
73615044210
oct1127136160
9357502855
10157072496
1180732989
124472a528
1326707109
1416c0a240
15dbc9eeb
hex95cbc70

157072496 has 80 divisors (see below), whose sum is σ = 362548224. Its totient is φ = 64526592.

The previous prime is 157072483. The next prime is 157072501. The reversal of 157072496 is 694270751.

157072496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278711 + ... + 279273.

Almost surely, 2157072496 is an apocalyptic number.

157072496 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 157072496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181274112).

157072496 is an abundant number, since it is smaller than the sum of its proper divisors (205475728).

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

157072496 is a wasteful number, since it uses less digits than its factorization.

157072496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 157072496 is about 12532.8566576020. The cubic root of 157072496 is about 539.5520931465.

The spelling of 157072496 in words is "one hundred fifty-seven million, seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 47 53 56 94 106 112 188 212 329 371 376 424 563 658 742 752 848 1126 1316 1484 2252 2491 2632 2968 3941 4504 4982 5264 5936 7882 9008 9964 15764 17437 19928 26461 29839 31528 34874 39856 52922 59678 63056 69748 105844 119356 139496 185227 208873 211688 238712 278992 370454 417746 423376 477424 740908 835492 1402433 1481816 1670984 2804866 2963632 3341968 5609732 9817031 11219464 19634062 22438928 39268124 78536248 157072496