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48819312 = 2432339023
BaseRepresentation
bin1011101000111…
…0110001110000
310101212021111200
42322032301300
544444204222
64502211200
71131646233
oct272166160
9111767450
1048819312
1125614743
1214423b00
13a163b89
1466ab41a
154444eac
hex2e8ec70

48819312 has 30 divisors (see below), whose sum is σ = 136626672. Its totient is φ = 16273056.

The previous prime is 48819283. The next prime is 48819343. The reversal of 48819312 is 21391884.

48819312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 169368 + ... + 169655.

Almost surely, 248819312 is an apocalyptic number.

It is an amenable number.

48819312 is an abundant number, since it is smaller than the sum of its proper divisors (87807360).

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

48819312 is a wasteful number, since it uses less digits than its factorization.

48819312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339037 (or 339028 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 48819312 is about 6987.0817942829. The cubic root of 48819312 is about 365.4802260925.

The spelling of 48819312 in words is "forty-eight million, eight hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 339023 678046 1017069 1356092 2034138 2712184 3051207 4068276 5424368 6102414 8136552 12204828 16273104 24409656 48819312