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960484992 = 27314916787
BaseRepresentation
bin111001001111111…
…101011010000000
32110221022200201020
4321033331122000
53431341004432
6235150305440
732541662535
oct7117753200
92427280636
10960484992
11453194655
122297b8280
13123cb331c
14917c2d8c
15594c822c
hex393fd680

960484992 has 64 divisors (see below), whose sum is σ = 2568564000. Its totient is φ = 317993984.

The previous prime is 960484981. The next prime is 960485003. The reversal of 960484992 is 299484069.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (960484981) and next prime (960485003).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48823 + ... + 65609.

Almost surely, 2960484992 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 960484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284282000).

960484992 is an abundant number, since it is smaller than the sum of its proper divisors (1608079008).

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

960484992 is a wasteful number, since it uses less digits than its factorization.

960484992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16953 (or 16941 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 960484992 is about 30991.6923061649. The cubic root of 960484992 is about 986.6509258101.

The spelling of 960484992 in words is "nine hundred sixty million, four hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 298 384 447 596 894 1192 1788 2384 3576 4768 7152 9536 14304 16787 19072 28608 33574 50361 57216 67148 100722 134296 201444 268592 402888 537184 805776 1074368 1611552 2148736 2501263 3223104 5002526 6446208 7503789 10005052 15007578 20010104 30015156 40020208 60030312 80040416 120060624 160080832 240121248 320161664 480242496 960484992