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479316264 = 23378932057
BaseRepresentation
bin11100100100011…
…100100100101000
31020101220210022020
4130210130210220
51440201110024
6115321224440
714610056340
oct3444344450
91211823266
10479316264
1122661a449
12114632120
13783c26bb
144792dd20
152c12e979
hex1c91c928

479316264 has 64 divisors (see below), whose sum is σ = 1384905600. Its totient is φ = 135404544.

The previous prime is 479316247. The next prime is 479316269. The reversal of 479316264 is 462613974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (479316269) 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, 1077 + ... + 30980.

It is an arithmetic number, because the mean of its divisors is an integer number (21639150).

Almost surely, 2479316264 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 479316264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692452800).

479316264 is an abundant number, since it is smaller than the sum of its proper divisors (905589336).

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

479316264 is a wasteful number, since it uses less digits than its factorization.

479316264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32162 (or 32158 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 479316264 is about 21893.2926715010. The cubic root of 479316264 is about 782.6015826911.

The spelling of 479316264 in words is "four hundred seventy-nine million, three hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2492 3738 4984 7476 14952 32057 64114 96171 128228 192342 224399 256456 384684 448798 673197 769368 897596 1346394 1795192 2692788 2853073 5385576 5706146 8559219 11412292 17118438 19971511 22824584 34236876 39943022 59914533 68473752 79886044 119829066 159772088 239658132 479316264