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797826048 = 21031715277
BaseRepresentation
bin101111100011011…
…101110000000000
32001121020202120220
4233203131300000
53113220413143
6211100103040
725525260315
oct5743356000
92047222526
10797826048
1137a396578
121a3234a80
13c93a1526
1477d60d0c
154a097d83
hex2f8ddc00

797826048 has 88 divisors (see below), whose sum is σ = 2251732752. Its totient is φ = 250281984.

The previous prime is 797825983. The next prime is 797826049. The reversal of 797826048 is 840628797.

It is a super-3 number, since 3×7978260483 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797826049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44586 + ... + 59862.

Almost surely, 2797826048 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 797826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125866376).

797826048 is an abundant number, since it is smaller than the sum of its proper divisors (1453906704).

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

797826048 is a wasteful number, since it uses less digits than its factorization.

797826048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15317 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 797826048 is about 28245.8146988187. The cubic root of 797826048 is about 927.4761212772.

The spelling of 797826048 in words is "seven hundred ninety-seven million, eight hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 15277 17408 26112 30554 45831 52224 61108 91662 122216 183324 244432 259709 366648 488864 519418 733296 779127 977728 1038836 1466592 1558254 1955456 2077672 2933184 3116508 3910912 4155344 5866368 6233016 7821824 8310688 11732736 12466032 15643648 16621376 23465472 24932064 33242752 46930944 49864128 66485504 99728256 132971008 199456512 265942016 398913024 797826048