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900942912 = 2635193049
BaseRepresentation
bin110101101100110…
…100110001000000
32022210021122100000
4311230310301000
53321120133122
6225222200000
731216613502
oct6554646100
92283248300
10900942912
11422616821
12211883000
1311486691c
1487923d72
15541660ac
hex35b34c40

900942912 has 168 divisors, whose sum is σ = 2819908000. Its totient is φ = 284414976.

The previous prime is 900942901. The next prime is 900942929. The reversal of 900942912 is 219249009.

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

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 23 ways as a sum of consecutive naturals, for example, 293964 + ... + 297012.

Almost surely, 2900942912 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 900942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409954000).

900942912 is an abundant number, since it is smaller than the sum of its proper divisors (1918965088).

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

900942912 is a wasteful number, since it uses less digits than its factorization.

900942912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 900942912 is about 30015.7110860296. The cubic root of 900942912 is about 965.8264415632.

The spelling of 900942912 in words is "nine hundred million, nine hundred forty-two thousand, nine hundred twelve".