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475922952 = 23348572
BaseRepresentation
bin11100010111100…
…000001000001000
31020011112101120000
4130113200020020
51433314013302
6115120403000
714536164321
oct3427401010
91204471500
10475922952
11224711a5a
12113476460
13777a501b
14472c9448
152bbae31c
hex1c5e0208

475922952 has 60 divisors (see below), whose sum is σ = 1334582205. Its totient is φ = 158455872.

The previous prime is 475922947. The next prime is 475923017. The reversal of 475922952 is 259229574.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

475922952 is a `hidden beast` number, since 4 + 7 + 592 + 2 + 9 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 361988676 + 113934276 = 19026^2 + 10674^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15426.

It is a junction number, because it is equal to n+sod(n) for n = 475922898 and 475922907.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 554908 + ... + 555764.

Almost surely, 2475922952 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 475922952

475922952 is an abundant number, since it is smaller than the sum of its proper divisors (858659253).

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

475922952 is an frugal number, since it uses more digits than its factorization.

475922952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 862 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 475922952 is about 21815.6584131674. The cubic root of 475922952 is about 780.7504021015.

The spelling of 475922952 in words is "four hundred seventy-five million, nine hundred twenty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 857 1714 2571 3428 5142 6856 7713 10284 15426 20568 23139 30852 46278 61704 69417 92556 138834 185112 277668 555336 734449 1468898 2203347 2937796 4406694 5875592 6610041 8813388 13220082 17626776 19830123 26440164 39660246 52880328 59490369 79320492 118980738 158640984 237961476 475922952