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2054893584 = 243167256349
BaseRepresentation
bin111101001111011…
…0011000000010000
312022012122102001210
41322132303000100
513202023043314
6535523300120
7101631210252
oct17236630020
95265572053
102054893584
11964a2aa67
1249421a640
13269956c83
14156ca7cd2
15c0607559
hex7a7b3010

2054893584 has 40 divisors (see below), whose sum is σ = 5340283200. Its totient is φ = 680860288.

The previous prime is 2054893583. The next prime is 2054893597. The reversal of 2054893584 is 4853984502.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2054893583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120159 + ... + 136190.

It is an arithmetic number, because the mean of its divisors is an integer number (133507080).

Almost surely, 22054893584 is an apocalyptic number.

2054893584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2054893584 is an abundant number, since it is smaller than the sum of its proper divisors (3285389616).

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

2054893584 is a wasteful number, since it uses less digits than its factorization.

2054893584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256527 (or 256521 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 2054893584 is about 45330.9340737647. The cubic root of 2054893584 is about 1271.3441003583.

The spelling of 2054893584 in words is "two billion, fifty-four million, eight hundred ninety-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 2004 2672 4008 8016 256349 512698 769047 1025396 1538094 2050792 3076188 4101584 6152376 12304752 42810283 85620566 128430849 171241132 256861698 342482264 513723396 684964528 1027446792 2054893584