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809952 = 253111359
BaseRepresentation
bin11000101101111100000
31112011001020
43011233200
5201404302
625205440
76612243
oct3055740
91464036
10809952
11503590
12330880
13224880
1417125a
1510eebc
hexc5be0

809952 has 96 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 222720.

The previous prime is 809929. The next prime is 809981. The reversal of 809952 is 259908.

809952 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 (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

809952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13699 + ... + 13757.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2809952 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 809952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

809952 is an abundant number, since it is smaller than the sum of its proper divisors (1730208).

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

809952 is a wasteful number, since it uses less digits than its factorization.

809952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 809952 is about 899.9733329383. The cubic root of 809952 is about 93.2151338193.

The spelling of 809952 in words is "eight hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 59 66 78 88 96 104 118 132 143 156 176 177 208 236 264 286 312 352 354 416 429 472 528 572 624 649 708 767 858 944 1056 1144 1248 1298 1416 1534 1716 1888 1947 2288 2301 2596 2832 3068 3432 3894 4576 4602 5192 5664 6136 6864 7788 8437 9204 10384 12272 13728 15576 16874 18408 20768 24544 25311 31152 33748 36816 50622 62304 67496 73632 101244 134992 202488 269984 404976 809952