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2556345352 = 2311176592593
BaseRepresentation
bin1001100001011110…
…1011110000001000
320121011012210120111
42120113223300020
520213411022402
61101355204104
7120230401621
oct23027536010
96534183514
102556345352
1110a1a99110
125b4146634
133197c9ab2
141a371aa48
15ee65a9d7
hex985ebc08

2556345352 has 64 divisors (see below), whose sum is σ = 5547009600. Its totient is φ = 1091543040.

The previous prime is 2556345349. The next prime is 2556345353. The reversal of 2556345352 is 2535436552.

It is not an unprimeable number, because it can be changed into a prime (2556345353) 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, 984568 + ... + 987160.

It is an arithmetic number, because the mean of its divisors is an integer number (86672025).

Almost surely, 22556345352 is an apocalyptic number.

2556345352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556345352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773504800).

2556345352 is an abundant number, since it is smaller than the sum of its proper divisors (2990664248).

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

2556345352 is a wasteful number, since it uses less digits than its factorization.

2556345352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3282 counting only the distinct ones).

The product of its digits is 540000, while the sum is 40.

The square root of 2556345352 is about 50560.3140021895. The cubic root of 2556345352 is about 1367.3294723007.

The spelling of 2556345352 in words is "two billion, five hundred fifty-six million, three hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 659 748 1318 1496 2593 2636 5186 5272 7249 10372 11203 14498 20744 22406 28523 28996 44081 44812 57046 57992 88162 89624 114092 123233 176324 228184 246466 352648 484891 492932 969782 985864 1708787 1939564 3417574 3879128 6835148 13670296 18796657 29049379 37593314 58098758 75186628 116197516 150373256 232395032 319543169 639086338 1278172676 2556345352