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804604400 = 245219234603
BaseRepresentation
bin101111111101010…
…100100111110000
32002002000010201222
4233331110213300
53121434320100
6211501244212
725640011265
oct5775244760
92062003658
10804604400
113831a6216
121a5563668
13ca9058a2
1478c0726c
154a986485
hex2ff549f0

804604400 has 120 divisors (see below), whose sum is σ = 2123733120. Its totient is φ = 291582720.

The previous prime is 804604397. The next prime is 804604429. The reversal of 804604400 is 4406408.

It is a self number, because there is not a number n which added to its sum of digits gives 804604400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172499 + ... + 177101.

It is an arithmetic number, because the mean of its divisors is an integer number (17697776).

Almost surely, 2804604400 is an apocalyptic number.

804604400 is a gapful number since it is divisible by the number (80) 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 804604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061866560).

804604400 is an abundant number, since it is smaller than the sum of its proper divisors (1319128720).

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

804604400 is a wasteful number, since it uses less digits than its factorization.

804604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 804604400 is about 28365.5495275519. The cubic root of 804604400 is about 930.0953384359.

The spelling of 804604400 in words is "eight hundred four million, six hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 23 25 38 40 46 50 76 80 92 95 100 115 152 184 190 200 230 304 368 380 400 437 460 475 575 760 874 920 950 1150 1520 1748 1840 1900 2185 2300 3496 3800 4370 4600 4603 6992 7600 8740 9200 9206 10925 17480 18412 21850 23015 34960 36824 43700 46030 73648 87400 87457 92060 105869 115075 174800 174914 184120 211738 230150 349828 368240 423476 437285 460300 529345 699656 846952 874570 920600 1058690 1399312 1693904 1749140 1841200 2011511 2117380 2186425 2646725 3498280 4023022 4234760 4372850 5293450 6996560 8046044 8469520 8745700 10057555 10586900 16092088 17491400 20115110 21173800 32184176 34982800 40230220 42347600 50287775 80460440 100575550 160920880 201151100 402302200 804604400