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8082155952 = 24321321132939
BaseRepresentation
bin1111000011011101…
…11110100110110000
3202212021000001200100
413201232332212300
5113023012442302
63413552352400
7404166122613
oct74156764660
922767001610
108082155952
113478191432
121696845700
139ba579900
1456957217a
15324827d1c
hex1e1bbe9b0

8082155952 has 180 divisors, whose sum is σ = 24717714840. Its totient is φ = 2463971328.

The previous prime is 8082155941. The next prime is 8082155971. The reversal of 8082155952 is 2595512808.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8082155898 and 8082155907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2748499 + ... + 2751437.

It is an arithmetic number, because the mean of its divisors is an integer number (137320638).

Almost surely, 28082155952 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 8082155952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358857420).

8082155952 is an abundant number, since it is smaller than the sum of its proper divisors (16635558888).

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

8082155952 is a wasteful number, since it uses less digits than its factorization.

8082155952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 8082155952 is about 89900.8117427201. The cubic root of 8082155952 is about 2006.8230260215.

The spelling of 8082155952 in words is "eight billion, eighty-two million, one hundred fifty-five thousand, nine hundred fifty-two".