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2628507856 = 2413311672441
BaseRepresentation
bin1001110010101011…
…1101100011010000
320210012000000220211
42130222331203100
520340344222411
61112454013504
7122064643132
oct23452754320
96705000824
102628507856
1111297a6947
12614347294
1332b7449c0
141ad143052
15105b62221
hex9cabd8d0

2628507856 has 80 divisors (see below), whose sum is σ = 5697635328. Its totient is φ = 1166515200.

The previous prime is 2628507839. The next prime is 2628507877. The reversal of 2628507856 is 6587058262.

2628507856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075596 + ... + 1078036.

Almost surely, 22628507856 is an apocalyptic number.

2628507856 is a gapful number since it is divisible by the number (26) 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 2628507856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848817664).

2628507856 is an abundant number, since it is smaller than the sum of its proper divisors (3069127472).

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

2628507856 is a wasteful number, since it uses less digits than its factorization.

2628507856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The square root of 2628507856 is about 51268.9755700268. The cubic root of 2628507856 is about 1380.0762850779.

The spelling of 2628507856 in words is "two billion, six hundred twenty-eight million, five hundred seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 167 208 248 334 403 496 668 806 1336 1612 2171 2441 2672 3224 4342 4882 5177 6448 8684 9764 10354 17368 19528 20708 31733 34736 39056 41416 63466 67301 75671 82832 126932 134602 151342 253864 269204 302684 407647 507728 538408 605368 815294 983723 1076816 1210736 1630588 1967446 3261176 3934892 5299411 6522352 7869784 10598822 12637057 15739568 21197644 25274114 42395288 50548228 84790576 101096456 164281741 202192912 328563482 657126964 1314253928 2628507856