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426102336 = 26331129773
BaseRepresentation
bin11001011001011…
…100111001000000
31002200210020112000
4121121130321000
51333040233321
6110140504000
713362544602
oct3131347100
91080706460
10426102336
111a9583aa0
12ba84b000
136a38047a
144083b172
152761c826
hex1965ce40

426102336 has 224 divisors, whose sum is σ = 1415491200. Its totient is φ = 124508160.

The previous prime is 426102319. The next prime is 426102349. The reversal of 426102336 is 633201624.

426102336 is a `hidden beast` number, since 42 + 610 + 2 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550846 + ... + 551618.

Almost surely, 2426102336 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 426102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707745600).

426102336 is an abundant number, since it is smaller than the sum of its proper divisors (989388864).

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

426102336 is a wasteful number, since it uses less digits than its factorization.

426102336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 426102336 is about 20642.2463893831. The cubic root of 426102336 is about 752.4967669828.

The spelling of 426102336 in words is "four hundred twenty-six million, one hundred two thousand, three hundred thirty-six".