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426868032 = 26316713313
BaseRepresentation
bin11001011100010…
…111110101000000
31002202020010212010
4121130113311000
51333234234112
6110205132520
713402214133
oct3134276500
91082203763
10426868032
111a9a572a8
12bab5a140
136a58ab46
144099a21a
152771e63c
hex19717d40

426868032 has 56 divisors (see below), whose sum is σ = 1136270016. Its totient is φ = 141426688.

The previous prime is 426868007. The next prime is 426868049. The reversal of 426868032 is 230868624.

It is a super-3 number, since 3×4268680323 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25408 + ... + 38720.

It is an arithmetic number, because the mean of its divisors is an integer number (20290536).

Almost surely, 2426868032 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 426868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568135008).

426868032 is an abundant number, since it is smaller than the sum of its proper divisors (709401984).

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

426868032 is a wasteful number, since it uses less digits than its factorization.

426868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13495 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 426868032 is about 20660.7848834453. The cubic root of 426868032 is about 752.9472369993.

The spelling of 426868032 in words is "four hundred twenty-six million, eight hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 4008 5344 8016 10688 13313 16032 26626 32064 39939 53252 79878 106504 159756 213008 319512 426016 639024 852032 1278048 2223271 2556096 4446542 6669813 8893084 13339626 17786168 26679252 35572336 53358504 71144672 106717008 142289344 213434016 426868032