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51632256 = 2731310343
BaseRepresentation
bin1100010011110…
…1100010000000
310121011012010210
43010331202000
5101204213011
65042354120
71164603234
oct304754200
9117135123
1051632256
1127166095
121535b940
13a90a340
146c005c4
1547ed6a6
hex313d880

51632256 has 64 divisors (see below), whose sum is σ = 147712320. Its totient is φ = 15885312.

The previous prime is 51632249. The next prime is 51632261. The reversal of 51632256 is 65223615.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180 + ... + 10163.

It is an arithmetic number, because the mean of its divisors is an integer number (2308005).

Almost surely, 251632256 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 51632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73856160).

51632256 is an abundant number, since it is smaller than the sum of its proper divisors (96080064).

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

51632256 is a wasteful number, since it uses less digits than its factorization.

51632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10361 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 51632256 is about 7185.5588509176. The cubic root of 51632256 is about 372.3691560332.

The spelling of 51632256 in words is "fifty-one million, six hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 10343 20686 31029 41372 62058 82744 124116 134459 165488 248232 268918 330976 403377 496464 537836 661952 806754 992928 1075672 1323904 1613508 1985856 2151344 3227016 3971712 4302688 6454032 8605376 12908064 17210752 25816128 51632256