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426655152 = 2432721123239
BaseRepresentation
bin11001011011100…
…011110110110000
31002201211022211200
4121123203312300
51333210431102
6110200411200
713400336400
oct3133436660
91081738750
10426655152
111a9921370
12baa76b00
136a514c91
1440942800
15276cb51c
hex196e3db0

426655152 has 360 divisors, whose sum is σ = 1587755520. Its totient is φ = 105557760.

The previous prime is 426655123. The next prime is 426655157. The reversal of 426655152 is 251556624.

426655152 is a `hidden beast` number, since 42 + 66 + 551 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (426655157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1785049 + ... + 1785287.

It is an arithmetic number, because the mean of its divisors is an integer number (4410432).

Almost surely, 2426655152 is an apocalyptic number.

426655152 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 426655152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

426655152 is an abundant number, since it is smaller than the sum of its proper divisors (1161100368).

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

426655152 is a wasteful number, since it uses less digits than its factorization.

426655152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 426655152 is about 20655.6324521909. The cubic root of 426655152 is about 752.8220507213.

The spelling of 426655152 in words is "four hundred twenty-six million, six hundred fifty-five thousand, one hundred fifty-two".