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2585840928 = 253112448713
BaseRepresentation
bin1001101000100000…
…1100110100100000
320200012201022220020
42122020030310200
520243433402203
61104331313440
7121036166556
oct23210146440
96605638806
102585840928
111107704620
12601bab880
133229562b8
141a75d7bd6
15102035153
hex9a20cd20

2585840928 has 48 divisors (see below), whose sum is σ = 7404911136. Its totient is φ = 783587840.

The previous prime is 2585840909. The next prime is 2585840951. The reversal of 2585840928 is 8290485852.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1223301 + ... + 1225412.

It is an arithmetic number, because the mean of its divisors is an integer number (154268982).

Almost surely, 22585840928 is an apocalyptic number.

It is an amenable number.

2585840928 is an abundant number, since it is smaller than the sum of its proper divisors (4819070208).

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

2585840928 is a wasteful number, since it uses less digits than its factorization.

2585840928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448737 (or 2448729 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The square root of 2585840928 is about 50851.1644704426. The cubic root of 2585840928 is about 1372.5682069348.

The spelling of 2585840928 in words is "two billion, five hundred eighty-five million, eight hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2448713 4897426 7346139 9794852 14692278 19589704 26935843 29384556 39179408 53871686 58769112 78358816 80807529 107743372 117538224 161615058 215486744 235076448 323230116 430973488 646460232 861946976 1292920464 2585840928