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157456896 = 293234457
BaseRepresentation
bin10010110001010…
…01101000000000
3101222021122020220
421120221220000
5310302110041
623342503040
73621235002
oct1130515000
9358248226
10157456896
1180975773
1244894a80
132681007c
1416caa372
15dc53d66
hex9629a00

157456896 has 80 divisors (see below), whose sum is σ = 437811264. Its totient is φ = 50192384.

The previous prime is 157456889. The next prime is 157456903. The reversal of 157456896 is 698654751.

It is an interprime number because it is at equal distance from previous prime (157456889) and next prime (157456903).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33100 + ... + 37556.

Almost surely, 2157456896 is an apocalyptic number.

157456896 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 157456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218905632).

157456896 is an abundant number, since it is smaller than the sum of its proper divisors (280354368).

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

157456896 is an equidigital number, since it uses as much as digits as its factorization.

157456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4485 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 157456896 is about 12548.1829760328. The cubic root of 157456896 is about 539.9918791646.

The spelling of 157456896 in words is "one hundred fifty-seven million, four hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 4457 5888 8832 8914 11776 13371 17664 17828 26742 35328 35656 53484 71312 102511 106968 142624 205022 213936 285248 307533 410044 427872 570496 615066 820088 855744 1140992 1230132 1640176 1711488 2281984 2460264 3280352 3422976 4920528 6560704 6845952 9841056 13121408 19682112 26242816 39364224 52485632 78728448 157456896