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2628560956 = 2273710125121
BaseRepresentation
bin1001110010101100…
…1010100000111100
320210012002201202111
42130223022200330
520340402422311
61112455103404
7122065254010
oct23453124074
96705081674
102628560956
11112983282a
12614371b64
1332b762c18
141ad158540
15105b72d21
hex9caca83c

2628560956 has 48 divisors (see below), whose sum is σ = 5452880832. Its totient is φ = 1085184000.

The previous prime is 2628560939. The next prime is 2628560971. The reversal of 2628560956 is 6590658262.

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, 92076 + ... + 117196.

It is an arithmetic number, because the mean of its divisors is an integer number (113601684).

Almost surely, 22628560956 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 2628560956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726440416).

2628560956 is an abundant number, since it is smaller than the sum of its proper divisors (2824319876).

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

2628560956 is a wasteful number, since it uses less digits than its factorization.

2628560956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25270 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The square root of 2628560956 is about 51269.4934244527. The cubic root of 2628560956 is about 1380.0855782538.

The spelling of 2628560956 in words is "two billion, six hundred twenty-eight million, five hundred sixty thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 37 74 101 148 202 259 404 518 707 1036 1414 2828 3737 7474 14948 25121 26159 50242 52318 100484 104636 175847 351694 703388 929477 1858954 2537221 3717908 5074442 6506339 10148884 13012678 17760547 26025356 35521094 71042188 93877177 187754354 375508708 657140239 1314280478 2628560956