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8628256 = 257132963
BaseRepresentation
bin100000111010…
…100000100000
3121020100202001
4200322200200
54202101011
6504533344
7133224160
oct40724040
917210661
108628256
11496359a
122a81254
131a313a0
1412085a0
15b567c1
hex83a820

8628256 has 48 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 3412224.

The previous prime is 8628233. The next prime is 8628271. The reversal of 8628256 is 6528268.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1431 + ... + 4393.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 28628256 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 8628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

8628256 is an abundant number, since it is smaller than the sum of its proper divisors (12285728).

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

8628256 is a wasteful number, since it uses less digits than its factorization.

8628256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2985 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 8628256 is about 2937.3893170637. The cubic root of 8628256 is about 205.1040994195.

The spelling of 8628256 in words is "eight million, six hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 2963 5926 11852 20741 23704 38519 41482 47408 77038 82964 94816 154076 165928 269633 308152 331856 539266 616304 663712 1078532 1232608 2157064 4314128 8628256