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804338856 = 233319375297
BaseRepresentation
bin101111111100010…
…011110010101000
32002001111122111000
4233330103302220
53121402320411
6211451435000
725634524146
oct5774236250
92061448430
10804338856
11383034762
121a5455a60
13ca841a69
1478b78596
154a932956
hex2ff13ca8

804338856 has 128 divisors (see below), whose sum is σ = 2415888000. Its totient is φ = 247090176.

The previous prime is 804338849. The next prime is 804338869. The reversal of 804338856 is 658833408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149200 + ... + 154496.

It is an arithmetic number, because the mean of its divisors is an integer number (18874125).

Almost surely, 2804338856 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 804338856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207944000).

804338856 is an abundant number, since it is smaller than the sum of its proper divisors (1611549144).

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

804338856 is a wasteful number, since it uses less digits than its factorization.

804338856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 804338856 is about 28360.8683929107. The cubic root of 804338856 is about 929.9930072315.

The spelling of 804338856 in words is "eight hundred four million, three hundred thirty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 37 38 54 57 72 74 76 108 111 114 148 152 171 216 222 228 296 333 342 444 456 513 666 684 703 888 999 1026 1332 1368 1406 1998 2052 2109 2664 2812 3996 4104 4218 5297 5624 6327 7992 8436 10594 12654 15891 16872 18981 21188 25308 31782 37962 42376 47673 50616 63564 75924 95346 100643 127128 143019 151848 190692 195989 201286 286038 301929 381384 391978 402572 572076 587967 603858 783956 805144 905787 1144152 1175934 1207716 1567912 1763901 1811574 2351868 2415432 2717361 3527802 3623148 3723791 4703736 5291703 5434722 7055604 7246296 7447582 10583406 10869444 11171373 14111208 14895164 21166812 21738888 22342746 29790328 33514119 42333624 44685492 67028238 89370984 100542357 134056476 201084714 268112952 402169428 804338856