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804545408 = 2713147981
BaseRepresentation
bin101111111101000…
…110001110000000
32002001220010211002
4233331012032000
53121430423113
6211500111132
725636344302
oct5775061600
92061803732
10804545408
11383165967
121a55354a8
13ca8b4a94
1478bcd972
154a973c58
hex2ff46380

804545408 has 32 divisors (see below), whose sum is σ = 1615074120. Its totient is φ = 399193600.

The previous prime is 804545407. The next prime is 804545429.

It is a happy number.

804545408 is nontrivially palindromic in base 10.

804545408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804545407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7223 + ... + 40758.

Almost surely, 2804545408 is an apocalyptic number.

It is an amenable number.

804545408 is an abundant number, since it is smaller than the sum of its proper divisors (810528712).

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

804545408 is a wasteful number, since it uses less digits than its factorization.

804545408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48126 (or 48114 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 804545408 is about 28364.5096555537. The cubic root of 804545408 is about 930.0726069647.

The spelling of 804545408 in words is "eight hundred four million, five hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 8384 16768 47981 95962 191924 383848 767696 1535392 3070784 6141568 6285511 12571022 25142044 50284088 100568176 201136352 402272704 804545408