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426505104 = 243217212
BaseRepresentation
bin11001011010111…
…111001110010000
31002201112201000100
4121122333032100
51333141130404
6110153252400
713366143054
oct3132771620
91081481010
10426505104
111a9829663
12baa04100
136a4918ac
1440903c64
152769bd39
hex196bf390

426505104 has 45 divisors (see below), whose sum is σ = 1194315889. Its totient is φ = 142085760.

The previous prime is 426505097. The next prime is 426505109. The reversal of 426505104 is 401505624.

The square root of 426505104 is 20652.

It is a perfect power (a square), and thus also a powerful number.

426505104 is a `hidden beast` number, since 4 + 2 + 650 + 5 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 314991504 + 111513600 = 17748^2 + 10560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (426505109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 246964 + ... + 248684.

Almost surely, 2426505104 is an apocalyptic number.

426505104 is the 20652-nd square number.

It is an amenable number.

426505104 is an abundant number, since it is smaller than the sum of its proper divisors (767810785).

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

426505104 is an equidigital number, since it uses as much as digits as its factorization.

426505104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The cubic root of 426505104 is about 752.7337884270.

The spelling of 426505104 in words is "four hundred twenty-six million, five hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1721 3442 5163 6884 10326 13768 15489 20652 27536 30978 41304 61956 82608 123912 247824 2961841 5923682 8885523 11847364 17771046 23694728 26656569 35542092 47389456 53313138 71084184 106626276 142168368 213252552 426505104