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797196096 = 26321724789
BaseRepresentation
bin101111100001000…
…011111101000000
32001120001202110100
4233201003331000
53113040233341
6211034402400
725520024604
oct5741037500
92046052410
10797196096
11379aa6254
121a2b90400
13c9210888
1477c39504
1549ec13b6
hex2f843f40

797196096 has 126 divisors (see below), whose sum is σ = 2427845030. Its totient is φ = 250048512.

The previous prime is 797196067. The next prime is 797196097. The reversal of 797196096 is 690691797.

It can be written as a sum of positive squares in 3 ways, for example, as 137733696 + 659462400 = 11736^2 + 25680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797196097) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 164070 + ... + 168858.

Almost surely, 2797196096 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 797196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213922515).

797196096 is an abundant number, since it is smaller than the sum of its proper divisors (1630648934).

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

797196096 is a wasteful number, since it uses less digits than its factorization.

797196096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 797196096 is about 28234.6612517310. The cubic root of 797196096 is about 927.2319497220.

The spelling of 797196096 in words is "seven hundred ninety-seven million, one hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 816 867 1088 1156 1224 1632 1734 2312 2448 2601 3264 3468 4624 4789 4896 5202 6936 9248 9578 9792 10404 13872 14367 18496 19156 20808 27744 28734 38312 41616 43101 55488 57468 76624 81413 83232 86202 114936 153248 162826 166464 172404 229872 244239 306496 325652 344808 459744 488478 651304 689616 732717 919488 976956 1302608 1379232 1384021 1465434 1953912 2605216 2758464 2768042 2930868 3907824 4152063 5210432 5536084 5861736 7815648 8304126 11072168 11723472 12456189 15631296 16608252 22144336 23446944 24912378 33216504 44288672 46893888 49824756 66433008 88577344 99649512 132866016 199299024 265732032 398598048 797196096