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953042112 = 263711619
BaseRepresentation
bin111000110011100…
…100010011000000
32110102022120000000
4320303210103000
53422434321422
6234323000000
732421503301
oct7063442300
92412276000
10953042112
11449a70710
12227209000
131225a8659
14908067a8
1558a07cac
hex38ce44c0

953042112 has 224 divisors, whose sum is σ = 3099206400. Its totient is φ = 288334080.

The previous prime is 953042107. The next prime is 953042137. The reversal of 953042112 is 211240359.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539339 + ... + 1539957.

Almost surely, 2953042112 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 953042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549603200).

953042112 is an abundant number, since it is smaller than the sum of its proper divisors (2146164288).

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

953042112 is an equidigital number, since it uses as much as digits as its factorization.

953042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 953042112 is about 30871.3801440752. The cubic root of 953042112 is about 984.0957670029.

The spelling of 953042112 in words is "nine hundred fifty-three million, forty-two thousand, one hundred twelve".