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479290112 = 2871715733
BaseRepresentation
bin11100100100010…
…110001100000000
31020101212110102122
4130210112030000
51440144240422
6115320503412
714606620160
oct3444261400
91211773378
10479290112
11226601834
1211461ab68
13783b3822
14479245a0
152c126d42
hex1c916300

479290112 has 72 divisors (see below), whose sum is σ = 1157770656. Its totient is φ = 193314816.

The previous prime is 479290111. The next prime is 479290127. The reversal of 479290112 is 211092974.

It is a super-2 number, since 2×4792901122 = 459438022921945088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (479290111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22598 + ... + 38330.

It is an arithmetic number, because the mean of its divisors is an integer number (16080148).

Almost surely, 2479290112 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 479290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578885328).

479290112 is an abundant number, since it is smaller than the sum of its proper divisors (678480544).

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

479290112 is a wasteful number, since it uses less digits than its factorization.

479290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15773 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 479290112 is about 21892.6954028050. The cubic root of 479290112 is about 782.5873492435.

The spelling of 479290112 in words is "four hundred seventy-nine million, two hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 15733 30464 31466 62932 110131 125864 220262 251728 267461 440524 503456 534922 881048 1006912 1069844 1762096 1872227 2013824 2139688 3524192 3744454 4027648 4279376 7048384 7488908 8558752 14096768 14977816 17117504 28193536 29955632 34235008 59911264 68470016 119822528 239645056 479290112