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960478816 = 25115774729
BaseRepresentation
bin111001001111111…
…011111001100000
32110221022101020111
4321033323321200
53431340310231
6235150221104
732541635533
oct7117737140
92427271214
10960478816
1145318aa50
122297b4794
13123cb057b
14917c0a1a
15594c64b1
hex393fbe60

960478816 has 48 divisors (see below), whose sum is σ = 2066858640. Its totient is φ = 435732480.

The previous prime is 960478807. The next prime is 960478817. The reversal of 960478816 is 618874069.

It is a self number, because there is not a number n which added to its sum of digits gives 960478816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960478817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200740 + ... + 205468.

It is an arithmetic number, because the mean of its divisors is an integer number (43059555).

Almost surely, 2960478816 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 960478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033429320).

960478816 is an abundant number, since it is smaller than the sum of its proper divisors (1106379824).

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

960478816 is a wasteful number, since it uses less digits than its factorization.

960478816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 960478816 is about 30991.5926663991. The cubic root of 960478816 is about 986.6488110558.

The spelling of 960478816 in words is "nine hundred sixty million, four hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 577 1154 2308 4616 4729 6347 9232 9458 12694 18464 18916 25388 37832 50776 52019 75664 101552 104038 151328 203104 208076 416152 832304 1664608 2728633 5457266 10914532 21829064 30014963 43658128 60029926 87316256 120059852 240119704 480239408 960478816