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256832049796 = 22725326832
BaseRepresentation
bin1110111100110001100…
…0100001001010000100
3220112221001210221112121
43233030120201022010
513201443001043141
6313553110055324
724361352255200
oct3571430411204
9815831727477
10256832049796
1199a15aa63a3
124193864a544
131b2b064c7ca
14c605d2db00
156a32a0a1d1
hex3bcc621284

256832049796 has 81 divisors (see below), whose sum is σ = 533669003301. Its totient is φ = 107835952224.

The previous prime is 256832049767. The next prime is 256832049797. The reversal of 256832049796 is 697940238652.

The square root of 256832049796 is 506786.

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

It can be written as a sum of positive squares in only one way, i.e., 185149484100 + 71682565696 = 430290^2 + 267736^2 .

It is not an unprimeable number, because it can be changed into a prime (256832049797) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 376034871 + ... + 376035553.

Almost surely, 2256832049796 is an apocalyptic number.

256832049796 is the 506786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256832049796

256832049796 is an abundant number, since it is smaller than the sum of its proper divisors (276836953505).

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

256832049796 is an frugal number, since it uses more digits than its factorization.

256832049796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 256832049796 in words is "two hundred fifty-six billion, eight hundred thirty-two million, forty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 683 742 1366 1484 2597 2732 2809 4781 5194 5618 9562 10388 11236 19124 19663 33467 36199 39326 66934 72398 78652 133868 137641 144796 253393 275282 466489 506786 550564 932978 1013572 1773751 1865956 1918547 3265423 3547502 3837094 6530846 7095004 7674188 13061692 13429829 22857961 24723917 26859658 45715922 49447834 53719316 91431844 94008803 98895668 173067419 188017606 346134838 376035212 692269676 1211471933 1310367601 2422943866 2620735202 4845887732 5241470404 9172573207 18345146414 36690292828 64208012449 128416024898 256832049796