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51157008 = 243475639
BaseRepresentation
bin1100001100100…
…1100000010000
310120021001020000
43003021200100
5101044011013
65024250000
71160553540
oct303114020
9116231200
1051157008
1126971021
1215170900
13a7a1c26
146b19320
154757973
hex30c9810

51157008 has 100 divisors (see below), whose sum is σ = 169245120. Its totient is φ = 14613696.

The previous prime is 51156983. The next prime is 51157019. The reversal of 51157008 is 80075115.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6253 + ... + 11891.

Almost surely, 251157008 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 51157008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84622560).

51157008 is an abundant number, since it is smaller than the sum of its proper divisors (118088112).

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

51157008 is a wasteful number, since it uses less digits than its factorization.

51157008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 51157008 is about 7152.4127397683. The cubic root of 51157008 is about 371.2231446751.

The spelling of 51157008 in words is "fifty-one million, one hundred fifty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 5639 9072 11278 16917 22556 33834 39473 45112 50751 67668 78946 90224 101502 118419 135336 152253 157892 203004 236838 270672 304506 315784 355257 406008 456759 473676 609012 631568 710514 812016 913518 947352 1065771 1218024 1421028 1827036 1894704 2131542 2436048 2842056 3197313 3654072 4263084 5684112 6394626 7308144 8526168 12789252 17052336 25578504 51157008