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426886304 = 251310132
BaseRepresentation
bin11001011100011…
…100010010100000
31002202021001220212
4121130130102200
51333240330204
6110205353252
713402321325
oct3134342240
91082231825
10426886304
111a9a69aa9
12bab68828
136a596260
14409a2b4c
1527724c6e
hex1971c4a0

426886304 has 36 divisors (see below), whose sum is σ = 905975406. Its totient is φ = 196829952.

The previous prime is 426886283. The next prime is 426886309. The reversal of 426886304 is 403688624.

It can be written as a sum of positive squares in 3 ways, for example, as 24482704 + 402403600 = 4948^2 + 20060^2 .

It is a super-3 number, since 3×4268863043 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (426886309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 420902 + ... + 421914.

Almost surely, 2426886304 is an apocalyptic number.

It is an amenable number.

426886304 is an abundant number, since it is smaller than the sum of its proper divisors (479089102).

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

426886304 is an equidigital number, since it uses as much as digits as its factorization.

426886304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The square root of 426886304 is about 20661.2270690780. The cubic root of 426886304 is about 752.9579800976.

The spelling of 426886304 in words is "four hundred twenty-six million, eight hundred eighty-six thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1013 2026 4052 8104 13169 16208 26338 32416 52676 105352 210704 421408 1026169 2052338 4104676 8209352 13340197 16418704 26680394 32837408 53360788 106721576 213443152 426886304