Search a number
-
+
157056288 = 253732307
BaseRepresentation
bin10010101110001…
…11110100100000
3101221112021201120
421113013310200
5310201300123
623330132240
73614646024
oct1127076440
9357467646
10157056288
1180721794
1244721080
13266cc91c
1416c04384
15dbc52e3
hex95c7d20

157056288 has 72 divisors (see below), whose sum is σ = 419359248. Its totient is φ = 51466752.

The previous prime is 157056271. The next prime is 157056301. The reversal of 157056288 is 882650751.

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 11 ways as a sum of consecutive naturals, for example, 511431 + ... + 511737.

It is an arithmetic number, because the mean of its divisors is an integer number (5824434).

Almost surely, 2157056288 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 157056288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209679624).

157056288 is an abundant number, since it is smaller than the sum of its proper divisors (262302960).

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

157056288 is an equidigital number, since it uses as much as digits as its factorization.

157056288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 157056288 is about 12532.2100205830. The cubic root of 157056288 is about 539.5335340706.

The spelling of 157056288 in words is "one hundred fifty-seven million, fifty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 307 438 584 614 876 921 1168 1228 1752 1842 2336 2456 3504 3684 4912 5329 7008 7368 9824 10658 14736 15987 21316 22411 29472 31974 42632 44822 63948 67233 85264 89644 127896 134466 170528 179288 255792 268932 358576 511584 537864 717152 1075728 1636003 2151456 3272006 4908009 6544012 9816018 13088024 19632036 26176048 39264072 52352096 78528144 157056288