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804101792 = 25132966653
BaseRepresentation
bin101111111011011…
…001111010100000
32002001001121021212
4233323121322200
53121322224132
6211442405252
725632516044
oct5773317240
92061047255
10804101792
1138299263a
121a5360828
13ca78aba0
1478b16024
154a8d75b2
hex2fed9ea0

804101792 has 48 divisors (see below), whose sum is σ = 1763664840. Its totient is φ = 358321152.

The previous prime is 804101791. The next prime is 804101801. The reversal of 804101792 is 297101408.

It can be written as a sum of positive squares in 4 ways, for example, as 276756496 + 527345296 = 16636^2 + 22964^2 .

It is a super-2 number, since 2×8041017922 = 1293159383795222528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (804101791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21263 + ... + 45390.

Almost surely, 2804101792 is an apocalyptic number.

It is an amenable number.

804101792 is an abundant number, since it is smaller than the sum of its proper divisors (959563048).

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

804101792 is a wasteful number, since it uses less digits than its factorization.

804101792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66705 (or 66697 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 804101792 is about 28356.6886642288. The cubic root of 804101792 is about 929.9016321749.

The spelling of 804101792 in words is "eight hundred four million, one hundred one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 66653 133306 266612 533224 866489 1066448 1732978 1932937 2132896 3465956 3865874 6931912 7731748 13863824 15463496 25128181 27727648 30926992 50256362 61853984 100512724 201025448 402050896 804101792