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426745504 = 2531213877
BaseRepresentation
bin11001011011111…
…001111010100000
31002201222220210001
4121123321322200
51333221324004
6110202345344
713401163663
oct3133717240
91081886701
10426745504
111a9983239
12baabb254
136a547143
14409676da
15276e81a4
hex196f9ea0

426745504 has 36 divisors (see below), whose sum is σ = 868193802. Its totient is φ = 206474880.

The previous prime is 426745499. The next prime is 426745513. The reversal of 426745504 is 405547624.

It can be written as a sum of positive squares in only one way, i.e., 418611600 + 8133904 = 20460^2 + 2852^2 .

It is a super-2 number, since 2×4267455042 = 364223450368428032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23814 + ... + 37690.

Almost surely, 2426745504 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 426745504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434096901).

426745504 is an abundant number, since it is smaller than the sum of its proper divisors (441448298).

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

426745504 is a wasteful number, since it uses less digits than its factorization.

426745504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13949 (or 13910 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The square root of 426745504 is about 20657.8194396214. The cubic root of 426745504 is about 752.8751882312.

The spelling of 426745504 in words is "four hundred twenty-six million, seven hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 3844 7688 13877 15376 27754 30752 55508 111016 222032 430187 444064 860374 1720748 3441496 6882992 13335797 13765984 26671594 53343188 106686376 213372752 426745504