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48590496 = 253356239
BaseRepresentation
bin1011100101011…
…0111010100000
310101102122122000
42321112322200
544414343441
64453244000
71130004153
oct271267240
9111378560
1048590496
1125478839
1214333600
13a0b3996
14664bc9a
1543ec2b6
hex2e56ea0

48590496 has 48 divisors (see below), whose sum is σ = 141724800. Its totient is φ = 16196544.

The previous prime is 48590491. The next prime is 48590551. The reversal of 48590496 is 69409584.

It is a happy number.

48590496 is digitally balanced in base 2, because in such base 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 (48).

It is a super-2 number, since 2×485904962 = 4722072603052032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48590491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27256 + ... + 28983.

It is an arithmetic number, because the mean of its divisors is an integer number (2952600).

Almost surely, 248590496 is an apocalyptic number.

It is an amenable number.

48590496 is an abundant number, since it is smaller than the sum of its proper divisors (93134304).

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

48590496 is a wasteful number, since it uses less digits than its factorization.

48590496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56258 (or 56244 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 48590496 is about 6970.6883447763. The cubic root of 48590496 is about 364.9083300158.

The spelling of 48590496 in words is "forty-eight million, five hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 56239 112478 168717 224956 337434 449912 506151 674868 899824 1012302 1349736 1518453 1799648 2024604 2699472 3036906 4049208 5398944 6073812 8098416 12147624 16196832 24295248 48590496