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804408020 = 225137939163
BaseRepresentation
bin101111111100100…
…100101011010100
32002001122011100122
4233330210223110
53121412024040
6211453131112
725635232613
oct5774445324
92061564318
10804408020
11383081719
121a5489a98
13ca8673a0
1478b9587a
154a9481b5
hex2ff24ad4

804408020 has 48 divisors (see below), whose sum is σ = 1842274560. Its totient is φ = 293245056.

The previous prime is 804408019. The next prime is 804408047. The reversal of 804408020 is 20804408.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 959 + ... + 40121.

It is an arithmetic number, because the mean of its divisors is an integer number (38380720).

Almost surely, 2804408020 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 804408020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921137280).

804408020 is an abundant number, since it is smaller than the sum of its proper divisors (1037866540).

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

804408020 is a wasteful number, since it uses less digits than its factorization.

804408020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39264 (or 39262 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 804408020 is about 28362.0877228740. The cubic root of 804408020 is about 930.0196627438.

The spelling of 804408020 in words is "eight hundred four million, four hundred eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1580 2054 4108 5135 10270 20540 39163 78326 156652 195815 391630 509119 783260 1018238 2036476 2545595 3093877 5091190 6187754 10182380 12375508 15469385 30938770 40220401 61877540 80440802 160881604 201102005 402204010 804408020