Search a number
-
+
51693264 = 2432751283
BaseRepresentation
bin1100010100110…
…0011011010000
310121021021211100
43011030123100
5101213141024
65043544400
71165246140
oct305143320
9117237740
1051693264
11271a7a07
121538b100
13a92c03c
146c18920
1548117c9
hex314c6d0

51693264 has 60 divisors (see below), whose sum is σ = 165339616. Its totient is φ = 14769216.

The previous prime is 51693253. The next prime is 51693269. The reversal of 51693264 is 46239615.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51693269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24634 + ... + 26649.

Almost surely, 251693264 is an apocalyptic number.

It is an amenable number.

51693264 is an abundant number, since it is smaller than the sum of its proper divisors (113646352).

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

51693264 is a wasteful number, since it uses less digits than its factorization.

51693264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51304 (or 51295 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 51693264 is about 7189.8027789363. The cubic root of 51693264 is about 372.5157604851.

The spelling of 51693264 in words is "fifty-one million, six hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 51283 102566 153849 205132 307698 358981 410264 461547 615396 717962 820528 923094 1076943 1230792 1435924 1846188 2153886 2461584 2871848 3230829 3692376 4307772 5743696 6461658 7384752 8615544 12923316 17231088 25846632 51693264