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8082284976 = 24351727193
BaseRepresentation
bin1111000011011110…
…11110000110110000
3202212021020121200000
413201233132012300
5113023031104401
63413555230000
7404200201023
oct74157360660
922767217600
108082284976
11347826a367
1216968a8300
139ba5c355c
145695a71ba
15324851186
hex1e1bde1b0

8082284976 has 180 divisors, whose sum is σ = 24921368472. Its totient is φ = 2535266304.

The previous prime is 8082284933. The next prime is 8082284981. The reversal of 8082284976 is 6794822808.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1120036 + ... + 1127228.

Almost surely, 28082284976 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 8082284976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12460684236).

8082284976 is an abundant number, since it is smaller than the sum of its proper divisors (16839083496).

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

8082284976 is a wasteful number, since it uses less digits than its factorization.

8082284976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 8082284976 is about 89901.5293307072. The cubic root of 8082284976 is about 2006.8337049772.

The spelling of 8082284976 in words is "eight billion, eighty-two million, two hundred eighty-four thousand, nine hundred seventy-six".