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2543891904 = 263241107719
BaseRepresentation
bin1001011110100000…
…1011010111000000
320120021210002122200
42113220023113000
520202214020104
61100232233200
7120016503321
oct22750132700
96507702580
102543891904
111095a62704
125abb3b800
133170595a8
141a1bd8448
15ed4eab39
hex97a0b5c0

2543891904 has 84 divisors (see below), whose sum is σ = 7469520240. Its totient is φ = 827274240.

The previous prime is 2543891869. The next prime is 2543891923. The reversal of 2543891904 is 4091983452.

2543891904 is a `hidden beast` number, since 25 + 438 + 9 + 190 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2543891904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30244 + ... + 77475.

It is an arithmetic number, because the mean of its divisors is an integer number (88922860).

Almost surely, 22543891904 is an apocalyptic number.

2543891904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2543891904 is an abundant number, since it is smaller than the sum of its proper divisors (4925628336).

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

2543891904 is a wasteful number, since it uses less digits than its factorization.

2543891904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107778 (or 107765 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2543891904 is about 50437.0092689882. The cubic root of 2543891904 is about 1365.1055040619.

The spelling of 2543891904 in words is "two billion, five hundred forty-three million, eight hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 11808 23616 107719 215438 323157 430876 646314 861752 969471 1292628 1723504 1938942 2585256 3447008 3877884 4416479 5170512 6894016 7755768 8832958 10341024 13249437 15511536 17665916 20682048 26498874 31023072 35331832 39748311 52997748 62046144 70663664 79496622 105995496 141327328 158993244 211990992 282654656 317986488 423981984 635972976 847963968 1271945952 2543891904