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51523864 = 23723109367
BaseRepresentation
bin1100010010001…
…1000100011000
310120221200110021
43010203010120
5101142230424
65040200224
71163642230
oct304430430
9116850407
1051523864
11270a1707
1215309074
13a89cbc2
146bb2cc0
1547cb4e4
hex3123118

51523864 has 64 divisors (see below), whose sum is σ = 116582400. Its totient is φ = 20870784.

The previous prime is 51523861. The next prime is 51523873. The reversal of 51523864 is 46832515.

It is a super-2 number, since 2×515238642 = 5309417122980992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51523861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140209 + ... + 140575.

It is an arithmetic number, because the mean of its divisors is an integer number (1821600).

Almost surely, 251523864 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 51523864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58291200).

51523864 is an abundant number, since it is smaller than the sum of its proper divisors (65058536).

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

51523864 is a wasteful number, since it uses less digits than its factorization.

51523864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 51523864 is about 7178.0125383006. The cubic root of 51523864 is about 372.1084009829.

The spelling of 51523864 in words is "fifty-one million, five hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 109 161 184 218 322 367 436 644 734 763 872 1288 1468 1526 2507 2569 2936 3052 5014 5138 6104 8441 10028 10276 16882 17549 20056 20552 33764 35098 40003 59087 67528 70196 80006 118174 140392 160012 236348 280021 320024 472696 560042 920069 1120084 1840138 2240168 3680276 6440483 7360552 12880966 25761932 51523864