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9255979264 = 28728592
BaseRepresentation
bin10001001111011001…
…10000100100000000
3212220001202110112211
420213230300210000
5122424012314024
64130243431504
7445241345200
oct104754604400
925801673484
109255979264
113a1a839244
121963985594
13b4680740c
1463b40a400
153928e2594
hex227b30900

9255979264 has 81 divisors (see below), whose sum is σ = 21517309107. Its totient is φ = 3962230272.

The previous prime is 9255979261. The next prime is 9255979297. The reversal of 9255979264 is 4629795529.

The square root of 9255979264 is 96208.

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

It is a junction number, because it is equal to n+sod(n) for n = 9255979199 and 9255979208.

It is not an unprimeable number, because it can be changed into a prime (9255979261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10774867 + ... + 10775725.

Almost surely, 29255979264 is an apocalyptic number.

9255979264 is the 96208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9255979264

9255979264 is an abundant number, since it is smaller than the sum of its proper divisors (12261329843).

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

9255979264 is an frugal number, since it uses more digits than its factorization.

9255979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 868 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 58.

The cubic root of 9255979264 is about 2099.6204351033.

The spelling of 9255979264 in words is "nine billion, two hundred fifty-five million, nine hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 859 896 1568 1718 1792 3136 3436 6013 6272 6872 12026 12544 13744 24052 27488 42091 48104 54976 84182 96208 109952 168364 192416 219904 336728 384832 673456 737881 769664 1346912 1475762 1539328 2693824 2951524 5165167 5387648 5903048 10330334 10775296 11806096 20660668 23612192 36156169 41321336 47224384 72312338 82642672 94448768 144624676 165285344 188897536 289249352 330570688 578498704 661141376 1156997408 1322282752 2313994816 4627989632 9255979264