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869909472 = 25327194201
BaseRepresentation
bin110011110110011…
…100001111100000
32020121212222110100
4303312130033200
53240144100342
6222153102400
730362052135
oct6366341740
92217788410
10869909472
1140704a953
122033b7a00
1310b2bc443
148376658c
1551585e4c
hex33d9c3e0

869909472 has 72 divisors (see below), whose sum is σ = 2477835360. Its totient is φ = 289497600.

The previous prime is 869909449. The next prime is 869909497. The reversal of 869909472 is 274909968.

869909472 is a `hidden beast` number, since 86 + 9 + 90 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204972 + ... + 209172.

It is an arithmetic number, because the mean of its divisors is an integer number (34414380).

Almost surely, 2869909472 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 869909472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238917680).

869909472 is an abundant number, since it is smaller than the sum of its proper divisors (1607925888).

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

869909472 is a wasteful number, since it uses less digits than its factorization.

869909472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 869909472 is about 29494.2277742612. The cubic root of 869909472 is about 954.6071580348.

The spelling of 869909472 in words is "eight hundred sixty-nine million, nine hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 719 1438 2157 2876 4201 4314 5752 6471 8402 8628 11504 12603 12942 16804 17256 23008 25206 25884 33608 34512 37809 50412 51768 67216 69024 75618 100824 103536 134432 151236 201648 207072 302472 403296 604944 1209888 3020519 6041038 9061557 12082076 18123114 24164152 27184671 36246228 48328304 54369342 72492456 96656608 108738684 144984912 217477368 289969824 434954736 869909472