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475348896 = 253211227661
BaseRepresentation
bin11100010101010…
…011111110100000
31020010110020002200
4130111103332200
51433142131041
6115100213200
714531253561
oct3425237640
91203406080
10475348896
1122435a730
1211323a200
1377633949
14471ba168
152bae91b6
hex1c553fa0

475348896 has 144 divisors (see below), whose sum is σ = 1483399008. Its totient is φ = 143193600.

The previous prime is 475348877. The next prime is 475348901. The reversal of 475348896 is 698843574.

475348896 is a `hidden beast` number, since 4 + 75 + 3 + 488 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718806 + ... + 719466.

It is an arithmetic number, because the mean of its divisors is an integer number (10301382).

Almost surely, 2475348896 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 475348896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741699504).

475348896 is an abundant number, since it is smaller than the sum of its proper divisors (1008050112).

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

475348896 is a wasteful number, since it uses less digits than its factorization.

475348896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 475348896 is about 21802.4974716201. The cubic root of 475348896 is about 780.4363633304.

The spelling of 475348896 in words is "four hundred seventy-five million, three hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 227 264 288 352 396 454 528 661 681 792 908 1056 1322 1362 1584 1816 1983 2043 2497 2644 2724 3168 3632 3966 4086 4994 5288 5448 5949 7264 7271 7491 7932 8172 9988 10576 10896 11898 14542 14982 15864 16344 19976 21152 21792 21813 22473 23796 29084 29964 31728 32688 39952 43626 44946 47592 58168 59928 63456 65376 65439 79904 87252 89892 95184 116336 119856 130878 150047 174504 179784 190368 232672 239712 261756 300094 349008 359568 450141 523512 600188 698016 719136 900282 1047024 1200376 1350423 1650517 1800564 2094048 2400752 2700846 3301034 3601128 4801504 4951551 5401692 6602068 7202256 9903102 10803384 13204136 14404512 14854653 19806204 21606768 26408272 29709306 39612408 43213536 52816544 59418612 79224816 118837224 158449632 237674448 475348896