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48864312 = 2332796953
BaseRepresentation
bin1011101001100…
…1110000111000
310101221120020100
42322121300320
5100002124222
64503155400
71132224360
oct272316070
9111846210
1048864312
1125645532
1214445b60
13a17b4c3
1466bd9a0
1544534ac
hex2e99c38

48864312 has 48 divisors (see below), whose sum is σ = 151248240. Its totient is φ = 13961088.

The previous prime is 48864311. The next prime is 48864317. The reversal of 48864312 is 21346884.

48864312 is a `hidden beast` number, since 4 + 8 + 8 + 643 + 1 + 2 = 666.

48864312 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 not an unprimeable number, because it can be changed into a prime (48864311) 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 11 ways as a sum of consecutive naturals, for example, 47973 + ... + 48980.

It is an arithmetic number, because the mean of its divisors is an integer number (3151005).

Almost surely, 248864312 is an apocalyptic number.

48864312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48864312 is an abundant number, since it is smaller than the sum of its proper divisors (102383928).

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

48864312 is a wasteful number, since it uses less digits than its factorization.

48864312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96972 (or 96965 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48864312 is about 6990.3012810608. The cubic root of 48864312 is about 365.5924874004.

The spelling of 48864312 in words is "forty-eight million, eight hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 96953 193906 290859 387812 581718 678671 775624 872577 1163436 1357342 1745154 2036013 2326872 2714684 3490308 4072026 5429368 6108039 6980616 8144052 12216078 16288104 24432156 48864312