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992318112 = 25323445549
BaseRepresentation
bin111011001001011…
…001001010100000
32120011012222112200
4323021121022200
54013013134422
6242244453200
733406364502
oct7311311240
92504188480
10992318112
1146a157315
122383aa200
1312a77a7a6
1495b0bd72
155c1b52ac
hex3b2592a0

992318112 has 36 divisors (see below), whose sum is σ = 2821905450. Its totient is φ = 330772608.

The previous prime is 992318023. The next prime is 992318123. The reversal of 992318112 is 211813299.

It can be written as a sum of positive squares in only one way, i.e., 971194896 + 21123216 = 31164^2 + 4596^2 .

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

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1722487 + ... + 1723062.

Almost surely, 2992318112 is an apocalyptic number.

It is an amenable number.

992318112 is an abundant number, since it is smaller than the sum of its proper divisors (1829587338).

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

992318112 is a wasteful number, since it uses less digits than its factorization.

992318112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445565 (or 3445554 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 992318112 is about 31501.0811243043. The cubic root of 992318112 is about 997.4327857173.

The spelling of 992318112 in words is "nine hundred ninety-two million, three hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3445549 6891098 10336647 13782196 20673294 27564392 31009941 41346588 55128784 62019882 82693176 110257568 124039764 165386352 248079528 330772704 496159056 992318112