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475795520 = 26513710853
BaseRepresentation
bin11100010111000…
…001000001000000
31020011021220202022
4130113001001000
51433300424040
6115113541012
714535123644
oct3427010100
91204256668
10475795520
11224635242
12113414768
137775c015
1447294c24
152bb866b5
hex1c5c1040

475795520 has 56 divisors (see below), whose sum is σ = 1141363224. Its totient is φ = 188911616.

The previous prime is 475795517. The next prime is 475795561. The reversal of 475795520 is 25597574.

It can be written as a sum of positive squares in 4 ways, for example, as 67108864 + 408686656 = 8192^2 + 20216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38414 + ... + 49266.

Almost surely, 2475795520 is an apocalyptic number.

475795520 is a gapful number since it is divisible by the number (40) 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 475795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570681612).

475795520 is an abundant number, since it is smaller than the sum of its proper divisors (665567704).

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

475795520 is a wasteful number, since it uses less digits than its factorization.

475795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11007 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 44.

The square root of 475795520 is about 21812.7375631762. The cubic root of 475795520 is about 780.6807119230.

The spelling of 475795520 in words is "four hundred seventy-five million, seven hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 137 160 274 320 548 685 1096 1370 2192 2740 4384 5480 8768 10853 10960 21706 21920 43412 43840 54265 86824 108530 173648 217060 347296 434120 694592 868240 1486861 1736480 2973722 3472960 5947444 7434305 11894888 14868610 23789776 29737220 47579552 59474440 95159104 118948880 237897760 475795520