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426339904 = 26292892
BaseRepresentation
bin11001011010010…
…110111001000000
31002201020022101211
4121122112321000
51333120334104
6110145535504
713364554324
oct3132267100
91081208354
10426339904
111a9726531
12ba944594
136a434643
144089d984
1527667e04
hex19696e40

426339904 has 63 divisors (see below), whose sum is σ = 886152787. Its totient is φ = 203506688.

The previous prime is 426339899. The next prime is 426339967. The reversal of 426339904 is 409933624.

The square root of 426339904 is 20648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 39037504 + 387302400 = 6248^2 + 19680^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 4790292 + ... + 4790380.

Almost surely, 2426339904 is an apocalyptic number.

426339904 is the 20648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426339904

426339904 is an abundant number, since it is smaller than the sum of its proper divisors (459812883).

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

426339904 is an frugal number, since it uses more digits than its factorization.

426339904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The cubic root of 426339904 is about 752.6365893710.

The spelling of 426339904 in words is "four hundred twenty-six million, three hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 178 232 356 464 712 841 928 1424 1682 1856 2581 2848 3364 5162 5696 6728 7921 10324 13456 15842 20648 26912 31684 41296 53824 63368 74849 82592 126736 149698 165184 229709 253472 299396 459418 506944 598792 918836 1197584 1837672 2395168 3675344 4790336 6661561 7350688 13323122 14701376 26646244 53292488 106584976 213169952 426339904