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479968144 = 2437810757
BaseRepresentation
bin11100100110111…
…011101110010000
31020110010220111221
4130212323232100
51440332440034
6115343214424
714615443015
oct3446735620
91213126457
10479968144
11226a25197
121148a7414
1378590326
1447a5d70c
152c20cbb4
hex1c9bbb90

479968144 has 20 divisors (see below), whose sum is σ = 955072924. Its totient is φ = 233497728.

The previous prime is 479968091. The next prime is 479968169. The reversal of 479968144 is 441869974.

It can be written as a sum of positive squares in 2 ways, for example, as 416160000 + 63808144 = 20400^2 + 7988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 479968091 and 479968100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 404787 + ... + 405970.

Almost surely, 2479968144 is an apocalyptic number.

It is an amenable number.

479968144 is a deficient number, since it is larger than the sum of its proper divisors (475104780).

479968144 is a wasteful number, since it uses less digits than its factorization.

479968144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810802 (or 810796 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 479968144 is about 21908.1752777359. The cubic root of 479968144 is about 782.9562067362.

The spelling of 479968144 in words is "four hundred seventy-nine million, nine hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 37 74 148 296 592 810757 1621514 3243028 6486056 12972112 29998009 59996018 119992036 239984072 479968144