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426187008 = 2835131731
BaseRepresentation
bin11001011001110…
…001100100000000
31002200221112200000
4121121301210000
51333100441013
6110142400000
713363346502
oct3131614400
91080845600
10426187008
111a9631675
12ba890000
136a3acb80
144085dd72
1527637973
hex19671900

426187008 has 432 divisors, whose sum is σ = 1499936256. Its totient is φ = 119439360.

The previous prime is 426186997. The next prime is 426187037. The reversal of 426187008 is 800781624.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13747953 + ... + 13747983.

Almost surely, 2426187008 is an apocalyptic number.

426187008 is a gapful number since it is divisible by the number (48) 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 426187008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749968128).

426187008 is an abundant number, since it is smaller than the sum of its proper divisors (1073749248).

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

426187008 is a wasteful number, since it uses less digits than its factorization.

426187008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 426187008 is about 20644.2972270794. The cubic root of 426187008 is about 752.5466072684.

The spelling of 426187008 in words is "four hundred twenty-six million, one hundred eighty-seven thousand, eight".