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51083712 = 2632131677
BaseRepresentation
bin1100001011011…
…1100111000000
310120010022200100
43002313213000
5101034134322
65022522400
71160130051
oct302674700
9116108610
1051083712
1126920a49
1215136400
13a777764
146ada728
154740dac
hex30b79c0

51083712 has 84 divisors (see below), whose sum is σ = 147757896. Its totient is φ = 16872960.

The previous prime is 51083707. The next prime is 51083731. The reversal of 51083712 is 21738015.

51083712 is a `hidden beast` number, since 510 + 83 + 71 + 2 = 666.

It is a nialpdrome in base 13.

It is a congruent number.

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, 75118 + ... + 75794.

Almost surely, 251083712 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 51083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73878948).

51083712 is an abundant number, since it is smaller than the sum of its proper divisors (96674184).

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

51083712 is a wasteful number, since it uses less digits than its factorization.

51083712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51083712 is about 7147.2870377508. The cubic root of 51083712 is about 371.0457680209.

The spelling of 51083712 in words is "fifty-one million, eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 576 677 786 1048 1179 1354 1572 2031 2096 2358 2708 3144 4062 4192 4716 5416 6093 6288 8124 8384 9432 10832 12186 12576 16248 18864 21664 24372 25152 32496 37728 43328 48744 64992 75456 88687 97488 129984 177374 194976 266061 354748 389952 532122 709496 798183 1064244 1418992 1596366 2128488 2837984 3192732 4256976 5675968 6385464 8513952 12770928 17027904 25541856 51083712