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51157632 = 2731271049
BaseRepresentation
bin1100001100100…
…1101010000000
310120021002002010
43003021222000
5101044021012
65024252520
71160555421
oct303115200
9116232063
1051157632
1126971539
1215171140
13a7a22b6
146b19648
154757c3c
hex30c9a80

51157632 has 64 divisors (see below), whose sum is σ = 137088000. Its totient is φ = 16902144.

The previous prime is 51157621. The next prime is 51157669. The reversal of 51157632 is 23675115.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 51157632.

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, 48244 + ... + 49292.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 251157632 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 51157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

51157632 is an abundant number, since it is smaller than the sum of its proper divisors (85930368).

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

51157632 is a wasteful number, since it uses less digits than its factorization.

51157632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1181 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 51157632 is about 7152.4563612790. The cubic root of 51157632 is about 371.2246540304.

The spelling of 51157632 in words is "fifty-one million, one hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1049 1524 2032 2098 3048 3147 4064 4196 6096 6294 8128 8392 12192 12588 16256 16784 24384 25176 33568 48768 50352 67136 100704 133223 134272 201408 266446 399669 402816 532892 799338 1065784 1598676 2131568 3197352 4263136 6394704 8526272 12789408 17052544 25578816 51157632