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426319128 = 233215713769
BaseRepresentation
bin11001011010010…
…001110100011000
31002201012020220100
4121122101310120
51333114203003
6110145255400
713364436624
oct3132216430
91081166810
10426319128
111a9711964
12ba934560
136a428051
1440896184
1527661ba3
hex19691d18

426319128 has 48 divisors (see below), whose sum is σ = 1155655800. Its totient is φ = 141978240.

The previous prime is 426319087. The next prime is 426319139. The reversal of 426319128 is 821913624.

426319128 is a `hidden beast` number, since 4 + 2 + 631 + 9 + 12 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 426319092 and 426319101.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 111228 + ... + 114996.

Almost surely, 2426319128 is an apocalyptic number.

It is an amenable number.

426319128 is an abundant number, since it is smaller than the sum of its proper divisors (729336672).

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

426319128 is a wasteful number, since it uses less digits than its factorization.

426319128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5345 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 426319128 is about 20647.4968942969. The cubic root of 426319128 is about 752.6243635768.

The spelling of 426319128 in words is "four hundred twenty-six million, three hundred nineteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1571 3142 3769 4713 6284 7538 9426 11307 12568 14139 15076 18852 22614 28278 30152 33921 37704 45228 56556 67842 90456 113112 135684 271368 5921099 11842198 17763297 23684396 35526594 47368792 53289891 71053188 106579782 142106376 213159564 426319128