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5040768 = 27313127
BaseRepresentation
bin10011001110101010000000
3100111002122010
4103032222000
52242301033
6300012520
760563055
oct23165200
910432563
105040768
112933227
121831140
131076505
1495302c
15698863
hex4cea80

5040768 has 32 divisors (see below), whose sum is σ = 13390560. Its totient is φ = 1680128.

The previous prime is 5040767. The next prime is 5040773. The reversal of 5040768 is 8670405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (5040767) 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, 6180 + ... + 6947.

It is an arithmetic number, because the mean of its divisors is an integer number (418455).

Almost surely, 25040768 is an apocalyptic number.

It is an amenable number.

5040768 is an abundant number, since it is smaller than the sum of its proper divisors (8349792).

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

5040768 is a wasteful number, since it uses less digits than its factorization.

5040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13144 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5040768 is about 2245.1654727436. The cubic root of 5040768 is about 171.4610858962.

The spelling of 5040768 in words is "five million, forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 13127 26254 39381 52508 78762 105016 157524 210032 315048 420064 630096 840128 1260192 1680256 2520384 5040768