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8256420328 = 23131721612
BaseRepresentation
bin1111011000001111…
…01111100111101000
3210022101220121110111
413230013233213220
5113402120422303
63443135424104
7411413262202
oct75407574750
923271817414
108256420328
113557596882
121725085034
13a176c2c20
14584775772
15334c9bb6d
hex1ec1ef9e8

8256420328 has 48 divisors (see below), whose sum is σ = 17660473740. Its totient is φ = 3584839680.

The previous prime is 8256420323. The next prime is 8256420383. The reversal of 8256420328 is 8230246528.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4791685284 + 3464735044 = 69222^2 + 58862^2 .

It is a super-2 number, since 2×82564203282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8256420323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3819568 + ... + 3821728.

Almost surely, 28256420328 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 8256420328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830236870).

8256420328 is an abundant number, since it is smaller than the sum of its proper divisors (9404053412).

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

8256420328 is a wasteful number, since it uses less digits than its factorization.

8256420328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 8256420328 is about 90864.8464919190. The cubic root of 8256420328 is about 2021.1440377609.

The spelling of 8256420328 in words is "eight billion, two hundred fifty-six million, four hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2161 4322 8644 17288 28093 36737 56186 73474 112372 146948 224744 293896 477581 955162 1910324 3820648 4669921 9339842 18679684 37359368 60708973 79388657 121417946 158777314 242835892 317554628 485671784 635109256 1032052541 2064105082 4128210164 8256420328