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960048992 = 25710341611
BaseRepresentation
bin111001001110010…
…010111101100000
32110220111112122002
4321032102331200
53431233031432
6235133103132
732535165440
oct7116227540
92426445562
10960048992
11452a17021
12229627aa8
13123b8ca36
149170c120
155943de62
hex39392f60

960048992 has 48 divisors (see below), whose sum is σ = 2181134592. Its totient is φ = 407445120.

The previous prime is 960048983. The next prime is 960048997. The reversal of 960048992 is 299840069.

960048992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960048997) 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, 2267 + ... + 43877.

It is an arithmetic number, because the mean of its divisors is an integer number (45440304).

Almost surely, 2960048992 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 960048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090567296).

960048992 is an abundant number, since it is smaller than the sum of its proper divisors (1221085600).

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

960048992 is a wasteful number, since it uses less digits than its factorization.

960048992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41731 (or 41723 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 960048992 is about 30984.6573645732. The cubic root of 960048992 is about 986.5016106498.

The spelling of 960048992 in words is "nine hundred sixty million, forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 2884 3296 5768 11536 23072 41611 83222 166444 291277 332888 582554 665776 1165108 1331552 2330216 4285933 4660432 8571866 9320864 17143732 30001531 34287464 60003062 68574928 120006124 137149856 240012248 480024496 960048992