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8488488960 = 21234571743
BaseRepresentation
bin1111110011111010…
…00001000000000000
3210220120120220210000
413321331001000000
5114341023121320
63522145440000
7420231652140
oct77175010000
923816526700
108488488960
113666592436
12178a940000
13a537c7943
145a7504920
1534a33cc90
hex1f9f41000

8488488960 has 1040 divisors, whose sum is σ = 37678075776. Its totient is φ = 1783627776.

The previous prime is 8488488959. The next prime is 8488488961. The reversal of 8488488960 is 698848848.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8488488959) and next prime (8488488961).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8488488961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197406699 + ... + 197406741.

Almost surely, 28488488960 is an apocalyptic number.

8488488960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8488488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839037888).

8488488960 is an abundant number, since it is smaller than the sum of its proper divisors (29189586816).

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

8488488960 is a wasteful number, since it uses less digits than its factorization.

8488488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The square root of 8488488960 is about 92132.9960437627. The cubic root of 8488488960 is about 2039.9058780104.

The spelling of 8488488960 in words is "eight billion, four hundred eighty-eight million, four hundred eighty-eight thousand, nine hundred sixty".