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475870896 = 24338912377
BaseRepresentation
bin11100010111010…
…011011010110000
31020011102202011000
4130113103122300
51433310332041
6115115322000
714535556464
oct3427233260
91204382130
10475870896
11224686936
12113450300
1377787417
14472b44a4
152bb9dbb6
hex1c5d36b0

475870896 has 80 divisors (see below), whose sum is σ = 1381384800. Its totient is φ = 156828672.

The previous prime is 475870891. The next prime is 475870907. The reversal of 475870896 is 698078574.

475870896 is a `hidden beast` number, since 475 + 87 + 0 + 8 + 96 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (475870891) 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, 32260 + ... + 44636.

It is an arithmetic number, because the mean of its divisors is an integer number (17267310).

Almost surely, 2475870896 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 475870896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690692400).

475870896 is an abundant number, since it is smaller than the sum of its proper divisors (905513904).

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

475870896 is a wasteful number, since it uses less digits than its factorization.

475870896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483 (or 12471 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 475870896 is about 21814.4652925530. The cubic root of 475870896 is about 780.7219351514.

The spelling of 475870896 in words is "four hundred seventy-five million, eight hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 534 712 801 1068 1424 1602 2136 2403 3204 4272 4806 6408 9612 12377 12816 19224 24754 37131 38448 49508 74262 99016 111393 148524 198032 222786 297048 334179 445572 594096 668358 891144 1101553 1336716 1782288 2203106 2673432 3304659 4406212 5346864 6609318 8812424 9913977 13218636 17624848 19827954 26437272 29741931 39655908 52874544 59483862 79311816 118967724 158623632 237935448 475870896