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2568248748 = 2233138322039
BaseRepresentation
bin1001100100010100…
…0101110110101100
320121222121112222000
42121011011312230
520224432424443
61102502252300
7120433516452
oct23105056654
96558545860
102568248748
1110a878932a
125b8127090
1331c106b20
141a51389d2
1510070c8d3
hex99145dac

2568248748 has 96 divisors (see below), whose sum is σ = 7257331200. Its totient is φ = 780674112.

The previous prime is 2568248713. The next prime is 2568248759. The reversal of 2568248748 is 8478428652.

2568248748 is a `hidden beast` number, since 2 + 568 + 2 + 4 + 8 + 74 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2568248694 and 2568248703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105513 + ... + 127551.

It is an arithmetic number, because the mean of its divisors is an integer number (75597200).

Almost surely, 22568248748 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 2568248748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628665600).

2568248748 is an abundant number, since it is smaller than the sum of its proper divisors (4689082452).

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

2568248748 is a wasteful number, since it uses less digits than its factorization.

2568248748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22148 (or 22140 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 2568248748 is about 50677.8921029673. The cubic root of 2568248748 is about 1369.4484696333.

The spelling of 2568248748 in words is "two billion, five hundred sixty-eight million, two hundred forty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 468 498 702 747 996 1079 1404 1494 2158 2241 2988 3237 4316 4482 6474 8964 9711 12948 19422 22039 29133 38844 44078 58266 66117 88156 116532 132234 198351 264468 286507 396702 573014 595053 793404 859521 1146028 1190106 1719042 1829237 2380212 2578563 3438084 3658474 5157126 5487711 7316948 7735689 10314252 10975422 15471378 16463133 21950844 23780081 30942756 32926266 47560162 49389399 65852532 71340243 95120324 98778798 142680486 197557596 214020729 285360972 428041458 642062187 856082916 1284124374 2568248748