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4295688640 = 265127105701
BaseRepresentation
bin1000000000000101…
…10000000111000000
3102002101002121000021
410000002300013000
532244144014030
61550131303224
7211310515405
oct40002600700
912071077007
104295688640
111904893501
129ba74ab14
13535c6ccc9
142ca7242ac
151a21d197a
hex1000b01c0

4295688640 has 56 divisors (see below), whose sum is σ = 10309750272. Its totient is φ = 1704729600.

The previous prime is 4295688623. The next prime is 4295688653. The reversal of 4295688640 is 468865924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12211 + ... + 93490.

Almost surely, 24295688640 is an apocalyptic number.

4295688640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4295688640 is an abundant number, since it is smaller than the sum of its proper divisors (6014061632).

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

4295688640 is a wasteful number, since it uses less digits than its factorization.

4295688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105845 (or 105835 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The square root of 4295688640 is about 65541.5031869120. The cubic root of 4295688640 is about 1625.5896734908.

The spelling of 4295688640 in words is "four billion, two hundred ninety-five million, six hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1270 2032 2540 4064 5080 8128 10160 20320 40640 105701 211402 422804 528505 845608 1057010 1691216 2114020 3382432 4228040 6764864 8456080 13424027 16912160 26848054 33824320 53696108 67120135 107392216 134240270 214784432 268480540 429568864 536961080 859137728 1073922160 2147844320 4295688640