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51506056 = 23721759131
BaseRepresentation
bin1100010001111…
…0101110001000
310120220210000201
43010132232020
5101141143211
65035541544
71163536300
oct304365610
9116823021
1051506056
112708a298
12152ba8b4
13a894a74
146baa600
1547c60c1
hex311eb88

51506056 has 96 divisors (see below), whose sum is σ = 121888800. Its totient is φ = 20267520.

The previous prime is 51506053. The next prime is 51506057. The reversal of 51506056 is 65060515.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (51506051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393111 + ... + 393241.

It is an arithmetic number, because the mean of its divisors is an integer number (1269675).

Almost surely, 251506056 is an apocalyptic number.

51506056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51506056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60944400).

51506056 is an abundant number, since it is smaller than the sum of its proper divisors (70382744).

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

51506056 is a wasteful number, since it uses less digits than its factorization.

51506056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 51506056 is about 7176.7719763136. The cubic root of 51506056 is about 372.0655258990.

The spelling of 51506056 in words is "fifty-one million, five hundred six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 59 68 98 118 119 131 136 196 236 238 262 392 413 472 476 524 826 833 917 952 1003 1048 1652 1666 1834 2006 2227 2891 3304 3332 3668 4012 4454 5782 6419 6664 7021 7336 7729 8024 8908 11564 12838 14042 15458 15589 17816 23128 25676 28084 30916 31178 49147 51352 54103 56168 61832 62356 98294 108206 109123 124712 131393 196588 216412 218246 262786 378721 393176 432824 436492 525572 757442 872984 919751 1051144 1514884 1839502 3029768 3679004 6438257 7358008 12876514 25753028 51506056