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426492864 = 2634722373
BaseRepresentation
bin11001011010111…
…100001111000000
31002201112002020000
4121122330033000
51333140232424
6110153120000
713366062300
oct3132741700
91081462200
10426492864
111a9820446
12ba9b9000
136a489155
14408dd600
15276983c9
hex196bc3c0

426492864 has 420 divisors, whose sum is σ = 1555632144. Its totient is φ = 114960384.

The previous prime is 426492863. The next prime is 426492881. The reversal of 426492864 is 468294624.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (663552) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426492863) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5842332 + ... + 5842404.

Almost surely, 2426492864 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 426492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777816072).

426492864 is an abundant number, since it is smaller than the sum of its proper divisors (1129139280).

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

426492864 is a wasteful number, since it uses less digits than its factorization.

426492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 426492864 is about 20651.7036585363. The cubic root of 426492864 is about 752.7265876147.

The spelling of 426492864 in words is "four hundred twenty-six million, four hundred ninety-two thousand, eight hundred sixty-four".