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51318468 = 22331989281
BaseRepresentation
bin1100001111000…
…0111011000100
310120120020201000
43003300323010
5101114142333
65031533300
71162125345
oct303607304
9116506630
1051318468
1126a71363
121522a230
13a82a576
146b5c0cc
15478a713
hex30f0ec4

51318468 has 96 divisors (see below), whose sum is σ = 142128000. Its totient is φ = 15966720.

The previous prime is 51318439. The next prime is 51318503. The reversal of 51318468 is 86481315.

51318468 is a `hidden beast` number, since 513 + 1 + 84 + 68 = 666.

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 31 ways as a sum of consecutive naturals, for example, 182488 + ... + 182768.

It is an arithmetic number, because the mean of its divisors is an integer number (1480500).

Almost surely, 251318468 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 51318468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71064000).

51318468 is an abundant number, since it is smaller than the sum of its proper divisors (90809532).

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

51318468 is a wasteful number, since it uses less digits than its factorization.

51318468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 51318468 is about 7163.6909481077. The cubic root of 51318468 is about 371.6132817834.

It can be divided in two parts, 513 and 18468, that multiplied together give a square (9474084 = 30782).

The spelling of 51318468 in words is "fifty-one million, three hundred eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 89 108 114 171 178 228 267 281 342 356 513 534 562 684 801 843 1026 1068 1124 1602 1686 1691 2052 2403 2529 3204 3372 3382 4806 5058 5073 5339 6764 7587 9612 10116 10146 10678 15174 15219 16017 20292 21356 25009 30348 30438 32034 45657 48051 50018 60876 64068 75027 91314 96102 100036 144153 150054 182628 192204 225081 288306 300108 450162 475171 576612 675243 900324 950342 1350486 1425513 1900684 2700972 2851026 4276539 5702052 8553078 12829617 17106156 25659234 51318468