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48960672 = 253510007
BaseRepresentation
bin1011101011000…
…1010010100000
310102010110102020
42322301102200
5100013220142
64505221440
71133105325
oct272612240
9112113366
1048960672
1125700972
1214491880
13a1b3317
146706b4c
154471cec
hex2eb14a0

48960672 has 24 divisors (see below), whose sum is σ = 128522016. Its totient is φ = 16320192.

The previous prime is 48960661. The next prime is 48960673. The reversal of 48960672 is 27606984.

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

It is not an unprimeable number, because it can be changed into a prime (48960673) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 254908 + ... + 255099.

It is an arithmetic number, because the mean of its divisors is an integer number (5355084).

Almost surely, 248960672 is an apocalyptic number.

It is an amenable number.

48960672 is an abundant number, since it is smaller than the sum of its proper divisors (79561344).

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

48960672 is a wasteful number, since it uses less digits than its factorization.

48960672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510020 (or 510012 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 48960672 is about 6997.1902932534. The cubic root of 48960672 is about 365.8326446796.

The spelling of 48960672 in words is "forty-eight million, nine hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 510007 1020014 1530021 2040028 3060042 4080056 6120084 8160112 12240168 16320224 24480336 48960672