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48138360 = 2335467859
BaseRepresentation
bin1011011110100…
…0100001111000
310100120200102020
42313220201320
544310411420
64435434440
71123112034
oct267504170
9110520366
1048138360
112519a076
1214155a20
139c85c4a
1465711c4
15435d340
hex2de8878

48138360 has 64 divisors (see below), whose sum is σ = 144892800. Its totient is φ = 12794496.

The previous prime is 48138331. The next prime is 48138383. The reversal of 48138360 is 6383184.

48138360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 55611 + ... + 56469.

It is an arithmetic number, because the mean of its divisors is an integer number (2263950).

Almost surely, 248138360 is an apocalyptic number.

48138360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48138360 is an abundant number, since it is smaller than the sum of its proper divisors (96754440).

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

48138360 is a wasteful number, since it uses less digits than its factorization.

48138360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48138360 is about 6938.1813178959. The cubic root of 48138360 is about 363.7729735965.

The spelling of 48138360 in words is "forty-eight million, one hundred thirty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 467 859 934 1401 1718 1868 2335 2577 2802 3436 3736 4295 4670 5154 5604 6872 7005 8590 9340 10308 11208 12885 14010 17180 18680 20616 25770 28020 34360 51540 56040 103080 401153 802306 1203459 1604612 2005765 2406918 3209224 4011530 4813836 6017295 8023060 9627672 12034590 16046120 24069180 48138360