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426064704 = 26313211809
BaseRepresentation
bin11001011001010…
…011101101000000
31002200201022220020
4121121103231000
51333033032304
6110140013440
713362330102
oct3131235500
91080638806
10426064704
111a955879a
12ba831280
136a3692c0
144082b572
15276115d9
hex19653b40

426064704 has 112 divisors (see below), whose sum is σ = 1221272640. Its totient is φ = 130314240.

The previous prime is 426064703. The next prime is 426064711. The reversal of 426064704 is 407460624.

It is a super-2 number, since 2×4260647042 = 363062263989215232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426064703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 526252 + ... + 527060.

It is an arithmetic number, because the mean of its divisors is an integer number (10904220).

Almost surely, 2426064704 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 426064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610636320).

426064704 is an abundant number, since it is smaller than the sum of its proper divisors (795207936).

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

426064704 is a wasteful number, since it uses less digits than its factorization.

426064704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 426064704 is about 20641.3348405572. The cubic root of 426064704 is about 752.4746136254.

The spelling of 426064704 in words is "four hundred twenty-six million, sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 211 312 416 422 624 633 809 832 844 1248 1266 1618 1688 2427 2496 2532 2743 3236 3376 4854 5064 5486 6472 6752 8229 9708 10128 10517 10972 12944 13504 16458 19416 20256 21034 21944 25888 31551 32916 38832 40512 42068 43888 51776 63102 65832 77664 84136 87776 126204 131664 155328 168272 170699 175552 252408 263328 336544 341398 504816 512097 526656 673088 682796 1009632 1024194 1365592 2019264 2048388 2219087 2731184 4096776 4438174 5462368 6657261 8193552 8876348 10924736 13314522 16387104 17752696 26629044 32774208 35505392 53258088 71010784 106516176 142021568 213032352 426064704