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799314048 = 27331317791
BaseRepresentation
bin101111101001001…
…001000010000000
32001201001100202000
4233221021002000
53114111022143
6211152024000
725544025441
oct5751110200
92051040660
10799314048
11380212525
121a3832000
13c97a28c0
147822b2c8
154a28dbd3
hex2fa49080

799314048 has 128 divisors (see below), whose sum is σ = 2540697600. Its totient is φ = 245928960.

The previous prime is 799314023. The next prime is 799314053. The reversal of 799314048 is 840413997.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 799313994 and 799314012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36033 + ... + 53823.

It is an arithmetic number, because the mean of its divisors is an integer number (19849200).

Almost surely, 2799314048 is an apocalyptic number.

799314048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270348800).

799314048 is an abundant number, since it is smaller than the sum of its proper divisors (1741383552).

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

799314048 is a wasteful number, since it uses less digits than its factorization.

799314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827 (or 17809 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 799314048 is about 28272.1426142413. The cubic root of 799314048 is about 928.0523652575.

The spelling of 799314048 in words is "seven hundred ninety-nine million, three hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 17791 22464 35582 44928 53373 71164 106746 142328 160119 213492 231283 284656 320238 426984 462566 480357 569312 640476 693849 853968 925132 960714 1138624 1280952 1387698 1707936 1850264 1921428 2081547 2277248 2561904 2775396 3415872 3700528 3842856 4163094 5123808 5550792 6244641 6831744 7401056 7685712 8326188 10247616 11101584 12489282 14802112 15371424 16652376 20495232 22203168 24978564 29604224 30742848 33304752 44406336 49957128 61485696 66609504 88812672 99914256 133219008 199828512 266438016 399657024 799314048