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804920960 = 2751257689
BaseRepresentation
bin101111111110100…
…001111010000000
32002002121012222102
4233332201322000
53122024432320
6211512125532
725642500224
oct5776417200
92062535872
10804920960
113833a2038
121a56968a8
13ca9b69bc
1478c8a784
154a9ea175
hex2ffa1e80

804920960 has 32 divisors (see below), whose sum is σ = 1924265700. Its totient is φ = 321968128.

The previous prime is 804920957. The next prime is 804920989. The reversal of 804920960 is 69029408.

It can be written as a sum of positive squares in 2 ways, for example, as 762201664 + 42719296 = 27608^2 + 6536^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 628205 + ... + 629484.

Almost surely, 2804920960 is an apocalyptic number.

804920960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804920960 is an abundant number, since it is smaller than the sum of its proper divisors (1119344740).

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

804920960 is a wasteful number, since it uses less digits than its factorization.

804920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257708 (or 1257696 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 804920960 is about 28371.1289870530. The cubic root of 804920960 is about 930.2172999761.

The spelling of 804920960 in words is "eight hundred four million, nine hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1257689 2515378 5030756 6288445 10061512 12576890 20123024 25153780 40246048 50307560 80492096 100615120 160984192 201230240 402460480 804920960