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808669920 = 25354433803
BaseRepresentation
bin110000001100110…
…101001011100000
32002100122200120210
4300030311023200
53124004414140
6212124334120
726016403152
oct6014651340
92070580523
10808669920
11385522753
121a69a4340
13cb6ca216
1479584ad2
154aedad80
hex303352e0

808669920 has 96 divisors (see below), whose sum is σ = 2553731712. Its totient is φ = 215101952.

The previous prime is 808669909. The next prime is 808669987. The reversal of 808669920 is 29966808.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 808669920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210739 + ... + 214541.

It is an arithmetic number, because the mean of its divisors is an integer number (26601372).

Almost surely, 2808669920 is an apocalyptic number.

808669920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276865856).

808669920 is an abundant number, since it is smaller than the sum of its proper divisors (1745061792).

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

808669920 is a wasteful number, since it uses less digits than its factorization.

808669920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 808669920 is about 28437.1222172709. The cubic root of 808669920 is about 931.6592416583.

The spelling of 808669920 in words is "eight hundred eight million, six hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 443 480 886 1329 1772 2215 2658 3544 3803 4430 5316 6645 7088 7606 8860 10632 11409 13290 14176 15212 17720 19015 21264 22818 26580 30424 35440 38030 42528 45636 53160 57045 60848 70880 76060 91272 106320 114090 121696 152120 182544 212640 228180 304240 365088 456360 608480 912720 1684729 1825440 3369458 5054187 6738916 8423645 10108374 13477832 16847290 20216748 25270935 26955664 33694580 40433496 50541870 53911328 67389160 80866992 101083740 134778320 161733984 202167480 269556640 404334960 808669920