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48114690 = 235131071153
BaseRepresentation
bin1011011110001…
…0110000000010
310100112110221120
42313202300002
544304132230
64435133110
71122653031
oct267426002
9110473846
1048114690
1125183308
1214144196
139c78240
146566718
154356310
hex2de2c02

48114690 has 64 divisors (see below), whose sum is σ = 125629056. Its totient is φ = 11722752.

The previous prime is 48114679. The next prime is 48114739. The reversal of 48114690 is 9641184.

It is a super-2 number, since 2×481146902 = 4630046787592200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41154 + ... + 42306.

It is an arithmetic number, because the mean of its divisors is an integer number (1962954).

Almost surely, 248114690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48114690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62814528).

48114690 is an abundant number, since it is smaller than the sum of its proper divisors (77514366).

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

48114690 is a wasteful number, since it uses less digits than its factorization.

48114690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 48114690 is about 6936.4753297334. The cubic root of 48114690 is about 363.7133405031.

The spelling of 48114690 in words is "forty-eight million, one hundred fourteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 321 390 535 642 1070 1153 1391 1605 2306 2782 3210 3459 4173 5765 6918 6955 8346 11530 13910 14989 17295 20865 29978 34590 41730 44967 74945 89934 123371 149890 224835 246742 370113 449670 616855 740226 1233710 1603823 1850565 3207646 3701130 4811469 8019115 9622938 16038230 24057345 48114690