Search a number
-
+
51532992 = 2632712781
BaseRepresentation
bin1100010010010…
…1010011000000
310120222010222100
43010211103000
5101143023432
65040310400
71164010650
oct304452300
9116863870
1051532992
11270a8555
1215312400
13a8a40c4
146bb6360
1547ce07c
hex31254c0

51532992 has 84 divisors (see below), whose sum is σ = 168824656. Its totient is φ = 14722560.

The previous prime is 51532979. The next prime is 51533003. The reversal of 51532992 is 29923515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2359 + ... + 10422.

Almost surely, 251532992 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 51532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84412328).

51532992 is an abundant number, since it is smaller than the sum of its proper divisors (117291664).

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

51532992 is a wasteful number, since it uses less digits than its factorization.

51532992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806 (or 12793 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 51532992 is about 7178.6483407394. The cubic root of 51532992 is about 372.1303740045.

The spelling of 51532992 in words is "fifty-one million, five hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 12781 25562 38343 51124 76686 89467 102248 115029 153372 178934 204496 230058 268401 306744 357868 408992 460116 536802 613488 715736 805203 817984 920232 1073604 1226976 1431472 1610406 1840464 2147208 2453952 2862944 3220812 3680928 4294416 5725888 6441624 7361856 8588832 12883248 17177664 25766496 51532992