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475604864 = 2772811889
BaseRepresentation
bin11100010110010…
…010011110000000
31020010221020012222
4130112102132000
51433223323424
6115105510212
714533401050
oct3426223600
91203836188
10475604864
11224514a79
12113342368
13776c32c7
1447245560
152bb49e5e
hex1c592780

475604864 has 64 divisors (see below), whose sum is σ = 1087279200. Its totient is φ = 202997760.

The previous prime is 475604863. The next prime is 475604867. The reversal of 475604864 is 468406574.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475604863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250832 + ... + 252720.

Almost surely, 2475604864 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 475604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543639600).

475604864 is an abundant number, since it is smaller than the sum of its proper divisors (611674336).

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

475604864 is a wasteful number, since it uses less digits than its factorization.

475604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The square root of 475604864 is about 21808.3668347724. The cubic root of 475604864 is about 780.5764224816.

The spelling of 475604864 in words is "four hundred seventy-five million, six hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 281 448 562 896 1124 1889 1967 2248 3778 3934 4496 7556 7868 8992 13223 15112 15736 17984 26446 30224 31472 35968 52892 60448 62944 105784 120896 125888 211568 241792 251776 423136 530809 846272 1061618 1692544 2123236 3715663 4246472 7431326 8492944 14862652 16985888 29725304 33971776 59450608 67943552 118901216 237802432 475604864