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8295234048 = 29321726229
BaseRepresentation
bin1111011100110111…
…10011101000000000
3210102002221112212200
413232123303220000
5113442034442143
63451043353200
7412364216553
oct75633635000
923362845780
108295234048
113577497132
121736082800
13a2276281a
1458999a69a
153383b71d3
hex1ee6f3a00

8295234048 has 180 divisors, whose sum is σ = 25435800390. Its totient is φ = 2602008576.

The previous prime is 8295234041. The next prime is 8295234089. The reversal of 8295234048 is 8404325928.

8295234048 is a `hidden beast` number, since 82 + 9 + 523 + 4 + 0 + 48 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8221411584 + 73822464 = 90672^2 + 8592^2 .

It is a super-2 number, since 2×82952340482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8295233994 and 8295234012.

It is not an unprimeable number, because it can be changed into a prime (8295234041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1328598 + ... + 1334826.

Almost surely, 28295234048 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 8295234048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12717900195).

8295234048 is an abundant number, since it is smaller than the sum of its proper divisors (17140566342).

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

8295234048 is a wasteful number, since it uses less digits than its factorization.

8295234048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8295234048 is about 91078.1754757966. The cubic root of 8295234048 is about 2024.3062439223.

The spelling of 8295234048 in words is "eight billion, two hundred ninety-five million, two hundred thirty-four thousand, forty-eight".