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2568285144 = 233437107119
BaseRepresentation
bin1001100100010100…
…1110101111011000
320121222200101220000
42121011032233120
520224440111034
61102503133000
7120434030535
oct23105165730
96558611800
102568285144
1110a8803707
125b8144160
1331c11a569
141a5147d8c
15100718599
hex9914ebd8

2568285144 has 80 divisors (see below), whose sum is σ = 7388066400. Its totient is φ = 832949568.

The previous prime is 2568285143. The next prime is 2568285169. The reversal of 2568285144 is 4415828652.

2568285144 is a `hidden beast` number, since 2 + 56 + 82 + 8 + 514 + 4 = 666.

2568285144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25682851442 = 13192177161782201472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2568285144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568285143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29584 + ... + 77535.

It is an arithmetic number, because the mean of its divisors is an integer number (92350830).

Almost surely, 22568285144 is an apocalyptic number.

2568285144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2568285144 is an abundant number, since it is smaller than the sum of its proper divisors (4819781256).

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

2568285144 is a wasteful number, since it uses less digits than its factorization.

2568285144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107174 (or 107161 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 2568285144 is about 50678.2511931894. The cubic root of 2568285144 is about 1369.4549386603.

The spelling of 2568285144 in words is "two billion, five hundred sixty-eight million, two hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 11988 23976 107119 214238 321357 428476 642714 856952 964071 1285428 1928142 2570856 2892213 3856284 3963403 5784426 7712568 7926806 8676639 11568852 11890209 15853612 17353278 23137704 23780418 31707224 34706556 35670627 47560836 69413112 71341254 95121672 107011881 142682508 214023762 285365016 321035643 428047524 642071286 856095048 1284142572 2568285144