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2256788028 = 2231128360413
BaseRepresentation
bin1000011010000011…
…1101101000111100
312211021112201011210
42012200331220330
514110214204103
61011534444420
7106632244635
oct20640755074
95737481153
102256788028
11a58997280
1252b963710
1329c725641
14175a2088c
15d31d7e03
hex8683da3c

2256788028 has 48 divisors (see below), whose sum is σ = 5764945536. Its totient is φ = 681447360.

The previous prime is 2256788021. The next prime is 2256788059. The reversal of 2256788028 is 8208876522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256788021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7150 + ... + 67562.

It is an arithmetic number, because the mean of its divisors is an integer number (120103032).

Almost surely, 22256788028 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 2256788028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882472768).

2256788028 is an abundant number, since it is smaller than the sum of its proper divisors (3508157508).

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

2256788028 is a wasteful number, since it uses less digits than its factorization.

2256788028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60714 (or 60712 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 2256788028 is about 47505.6631150435. The cubic root of 2256788028 is about 1311.6871271785.

The spelling of 2256788028 in words is "two billion, two hundred fifty-six million, seven hundred eighty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 849 1132 1698 3113 3396 6226 9339 12452 18678 37356 60413 120826 181239 241652 362478 664543 724956 1329086 1993629 2658172 3987258 7974516 17096879 34193758 51290637 68387516 102581274 188065669 205162548 376131338 564197007 752262676 1128394014 2256788028