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426558132 = 22327211131989
BaseRepresentation
bin11001011011001…
…100001010110100
31002201122101202100
4121123030022310
51333144330012
6110154342100
713366453500
oct3133141264
91081571670
10426558132
111a9865490
12baa2a930
136a4aca80
1440919300
15276ac8dc
hex196cc2b4

426558132 has 432 divisors, whose sum is σ = 1568548800. Its totient is φ = 95800320.

The previous prime is 426558107. The next prime is 426558193. The reversal of 426558132 is 231855624.

426558132 is a `hidden beast` number, since 42 + 6 + 5 + 581 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4792744 + ... + 4792832.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2426558132 is an apocalyptic number.

426558132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426558132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784274400).

426558132 is an abundant number, since it is smaller than the sum of its proper divisors (1141990668).

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

426558132 is a wasteful number, since it uses less digits than its factorization.

426558132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 426558132 is about 20653.2838066977. The cubic root of 426558132 is about 752.7649832965.

The spelling of 426558132 in words is "four hundred twenty-six million, five hundred fifty-eight thousand, one hundred thirty-two".