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896904 = 233212457
BaseRepresentation
bin11011010111110001000
31200120022200
43122332020
5212200104
631120200
710423611
oct3327610
91616280
10896904
11562948
12373060
13255318
14194c08
1512ab39
hexdaf88

896904 has 24 divisors (see below), whose sum is σ = 2429310. Its totient is φ = 298944.

The previous prime is 896897. The next prime is 896921. The reversal of 896904 is 409698.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 260100 = 798^2 + 510^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

896904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6157 + ... + 6300.

2896904 is an apocalyptic number.

It is an amenable number.

896904 is an abundant number, since it is smaller than the sum of its proper divisors (1532406).

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

896904 is a wasteful number, since it uses less digits than its factorization.

896904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12469 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 896904 is about 947.0501570667. The cubic root of 896904 is about 96.4381018211.

The spelling of 896904 in words is "eight hundred ninety-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 12457 24914 37371 49828 74742 99656 112113 149484 224226 298968 448452 896904