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4135704288 = 25343080253
BaseRepresentation
bin1111011010000001…
…1101011011100000
3101200020001112201220
43312200131123200
531432220014123
61522214255040
7204325622622
oct36640353340
911606045656
104135704288
111832551931
12975057480
1350ba86701
142b339ac12
1519312dce3
hexf681d6e0

4135704288 has 24 divisors (see below), whose sum is σ = 10856224008. Its totient is φ = 1378568064.

The previous prime is 4135704281. The next prime is 4135704337. The reversal of 4135704288 is 8824075314.

4135704288 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135704281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21540031 + ... + 21540222.

It is an arithmetic number, because the mean of its divisors is an integer number (452342667).

Almost surely, 24135704288 is an apocalyptic number.

4135704288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4135704288 is an abundant number, since it is smaller than the sum of its proper divisors (6720519720).

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

4135704288 is a wasteful number, since it uses less digits than its factorization.

4135704288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43080266 (or 43080258 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 4135704288 is about 64309.4416707220. The cubic root of 4135704288 is about 1605.1532140884.

The spelling of 4135704288 in words is "four billion, one hundred thirty-five million, seven hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 43080253 86160506 129240759 172321012 258481518 344642024 516963036 689284048 1033926072 1378568096 2067852144 4135704288