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51343812 = 223213313539
BaseRepresentation
bin1100001111011…
…1000111000100
310120121112110200
43003313013010
5101121000222
65032250500
71162262262
oct303670704
9116545420
1051343812
1126a89403
1215240a30
13a838c70
146b67432
154792eac
hex30f71c4

51343812 has 72 divisors (see below), whose sum is σ = 144318720. Its totient is φ = 15284160.

The previous prime is 51343793. The next prime is 51343829. The reversal of 51343812 is 21834315.

It is a happy number.

51343812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 12739 + ... + 16277.

Almost surely, 251343812 is an apocalyptic number.

51343812 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51343812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72159360).

51343812 is an abundant number, since it is smaller than the sum of its proper divisors (92974908).

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

51343812 is a wasteful number, since it uses less digits than its factorization.

51343812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3588 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 51343812 is about 7165.4596502946. The cubic root of 51343812 is about 371.6744463595.

The spelling of 51343812 in words is "fifty-one million, three hundred forty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3539 3627 4836 7078 7254 10617 14156 14508 21234 31851 42468 46007 63702 92014 109709 127404 138021 184028 219418 276042 329127 414063 438836 552084 658254 828126 987381 1316508 1426217 1656252 1974762 2852434 3949524 4278651 5704868 8557302 12835953 17114604 25671906 51343812