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879022368 = 253672769
BaseRepresentation
bin110100011001001…
…101000100100000
32021021000222000000
4310121031010200
53300012203433
6223120300000
730532365300
oct6431150440
92237028000
10879022368
11411204574
12206471600
131101602a3
1484a59600
1552286113
hex3464d120

879022368 has 252 divisors, whose sum is σ = 3022221510. Its totient is φ = 250822656.

The previous prime is 879022363. The next prime is 879022381. The reversal of 879022368 is 863220978.

It can be written as a sum of positive squares in only one way, i.e., 782432784 + 96589584 = 27972^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (879022363) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 1142688 + ... + 1143456.

Almost surely, 2879022368 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 879022368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511110755).

879022368 is an abundant number, since it is smaller than the sum of its proper divisors (2143199142).

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

879022368 is an equidigital number, since it uses as much as digits as its factorization.

879022368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 879022368 is about 29648.3113853049. The cubic root of 879022368 is about 957.9289728447.

The spelling of 879022368 in words is "eight hundred seventy-nine million, twenty-two thousand, three hundred sixty-eight".