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157006752 = 2537233641
BaseRepresentation
bin10010101101110…
…11101110100000
3101221102202202220
421112323232200
5310143204002
623325111040
73614351430
oct1126735640
9357382686
10157006752
1180698551
12446b8480
13266b3206
1416bd02c0
15dbb57bc
hex95bbba0

157006752 has 48 divisors (see below), whose sum is σ = 471022272. Its totient is φ = 44858880.

The previous prime is 157006727. The next prime is 157006789. The reversal of 157006752 is 257600751.

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

It is a super-2 number, since 2×1570067522 = 49302240347179008, which contains 22 as substring.

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, 116149 + ... + 117492.

It is an arithmetic number, because the mean of its divisors is an integer number (9812964).

Almost surely, 2157006752 is an apocalyptic number.

157006752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157006752 is an abundant number, since it is smaller than the sum of its proper divisors (314015520).

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

157006752 is a wasteful number, since it uses less digits than its factorization.

157006752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233661 (or 233653 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 157006752 is about 12530.2335173771. The cubic root of 157006752 is about 539.4768046355.

The spelling of 157006752 in words is "one hundred fifty-seven million, six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 233641 467282 700923 934564 1401846 1635487 1869128 2803692 3270974 3738256 4906461 5607384 6541948 7476512 9812922 11214768 13083896 19625844 22429536 26167792 39251688 52335584 78503376 157006752