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893894112 = 25323103799
BaseRepresentation
bin110101010001111…
…011110111100000
32022022000112012100
4311101323313200
53312314102422
6224411130400
731102655166
oct6521736740
92268015170
10893894112
11419641971
1220b443a00
13113269437
1486a0b236
15537227ac
hex3547bde0

893894112 has 36 divisors (see below), whose sum is σ = 2542012200. Its totient is φ = 297964608.

The previous prime is 893894107. The next prime is 893894117. The reversal of 893894112 is 211498398.

It is an interprime number because it is at equal distance from previous prime (893894107) and next prime (893894117).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893894117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1551612 + ... + 1552187.

It is an arithmetic number, because the mean of its divisors is an integer number (70611450).

Almost surely, 2893894112 is an apocalyptic number.

It is an amenable number.

893894112 is an abundant number, since it is smaller than the sum of its proper divisors (1648118088).

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

893894112 is a wasteful number, since it uses less digits than its factorization.

893894112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103815 (or 3103804 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 893894112 is about 29898.0620107725. The cubic root of 893894112 is about 963.3010319771.

The spelling of 893894112 in words is "eight hundred ninety-three million, eight hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3103799 6207598 9311397 12415196 18622794 24830392 27934191 37245588 49660784 55868382 74491176 99321568 111736764 148982352 223473528 297964704 446947056 893894112