Search a number
-
+
51342864 = 2431922963
BaseRepresentation
bin1100001111011…
…0111000010000
310120121111011120
43003312320100
5101120432424
65032242240
71162256436
oct303667020
9116544146
1051342864
1126a88721
1215240380
13a8386c1
146b66d56
154792a79
hex30f6e10

51342864 has 60 divisors (see below), whose sum is σ = 140031216. Its totient is φ = 16208064.

The previous prime is 51342853. The next prime is 51342911. The reversal of 51342864 is 46824315.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15847 + ... + 18809.

Almost surely, 251342864 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 51342864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70015608).

51342864 is an abundant number, since it is smaller than the sum of its proper divisors (88688352).

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

51342864 is a wasteful number, since it uses less digits than its factorization.

51342864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2987 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 51342864 is about 7165.3934993132. The cubic root of 51342864 is about 371.6721588424.

The spelling of 51342864 in words is "fifty-one million, three hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2888 2963 4332 5776 5926 8664 8889 11852 17328 17778 23704 35556 47408 56297 71112 112594 142224 168891 225188 337782 450376 675564 900752 1069643 1351128 2139286 2702256 3208929 4278572 6417858 8557144 12835716 17114288 25671432 51342864