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48573672 = 2337289129
BaseRepresentation
bin1011100101001…
…0110011101000
310101101210112220
42321102303220
544413324142
64453034040
71126604130
oct271226350
9111353486
1048573672
1125467134
1214325920
13a0a9124
146645ac0
1543e72ec
hex2e52ce8

48573672 has 32 divisors (see below), whose sum is σ = 138782400. Its totient is φ = 13878144.

The previous prime is 48573649. The next prime is 48573673. The reversal of 48573672 is 27637584.

48573672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×485736722 = 4718803223127168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (48573673) 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, 144397 + ... + 144732.

It is an arithmetic number, because the mean of its divisors is an integer number (4336950).

Almost surely, 248573672 is an apocalyptic number.

48573672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48573672 is an abundant number, since it is smaller than the sum of its proper divisors (90208728).

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

48573672 is a wasteful number, since it uses less digits than its factorization.

48573672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289145 (or 289141 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 48573672 is about 6969.4814728213. The cubic root of 48573672 is about 364.8662098007.

The spelling of 48573672 in words is "forty-eight million, five hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 289129 578258 867387 1156516 1734774 2023903 2313032 3469548 4047806 6071709 6939096 8095612 12143418 16191224 24286836 48573672