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426260576 = 25717910631
BaseRepresentation
bin11001011010000…
…011100001100000
31002201002021120202
4121122003201200
51333110314301
6110144124332
713364104130
oct3132034140
91081067522
10426260576
111a9681975
12ba9066a8
136a4074c1
144087cac0
152764e66b
hex19683860

426260576 has 48 divisors (see below), whose sum is σ = 964535040. Its totient is φ = 181645440.

The previous prime is 426260539. The next prime is 426260579. The reversal of 426260576 is 675062624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426260579) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34781 + ... + 45411.

It is an arithmetic number, because the mean of its divisors is an integer number (20094480).

Almost surely, 2426260576 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 426260576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482267520).

426260576 is an abundant number, since it is smaller than the sum of its proper divisors (538274464).

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

426260576 is a wasteful number, since it uses less digits than its factorization.

426260576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 426260576 is about 20646.0789497667. The cubic root of 426260576 is about 752.5899060727.

The spelling of 426260576 in words is "four hundred twenty-six million, two hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 716 1253 1432 2506 2864 5012 5728 10024 10631 20048 21262 40096 42524 74417 85048 148834 170096 297668 340192 595336 1190672 1902949 2381344 3805898 7611796 13320643 15223592 26641286 30447184 53282572 60894368 106565144 213130288 426260576