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804394008 = 2332117313913
BaseRepresentation
bin101111111100100…
…001010000011000
32002001121110010200
4233330201100120
53121411102013
6211452542200
725635144015
oct5774412030
92061543120
10804394008
11383072140
121a5481960
13ca860bb2
1478b9070c
154a943e73
hex2ff21418

804394008 has 96 divisors (see below), whose sum is σ = 2409348240. Its totient is φ = 240399360.

The previous prime is 804393979. The next prime is 804394009. The reversal of 804394008 is 800493408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804394009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50860 + ... + 64772.

Almost surely, 2804394008 is an apocalyptic number.

804394008 is a gapful number since it is divisible by the number (88) 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 804394008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204674120).

804394008 is an abundant number, since it is smaller than the sum of its proper divisors (1604954232).

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

804394008 is a wasteful number, since it uses less digits than its factorization.

804394008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14009 (or 14002 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 804394008 is about 28361.8407019009. The cubic root of 804394008 is about 930.0142627018.

The spelling of 804394008 in words is "eight hundred four million, three hundred ninety-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 792 803 876 1314 1606 1752 2409 2628 3212 4818 5256 6424 7227 9636 13913 14454 19272 27826 28908 41739 55652 57816 83478 111304 125217 153043 166956 250434 306086 333912 459129 500868 612172 918258 1001736 1015649 1224344 1377387 1836516 2031298 2754774 3046947 3673032 4062596 5509548 6093894 8125192 9140841 11019096 11172139 12187788 18281682 22344278 24375576 33516417 36563364 44688556 67032834 73126728 89377112 100549251 134065668 201098502 268131336 402197004 804394008