Search a number
-
+
48139416 = 23321351431
BaseRepresentation
bin1011011110100…
…0110010011000
310100120201212100
42313220302120
544310430131
64435443400
71123115103
oct267506230
9110521770
1048139416
112519a946
1214156560
139c86580
14657173a
15435d7e6
hex2de8c98

48139416 has 48 divisors (see below), whose sum is σ = 140409360. Its totient is φ = 14811840.

The previous prime is 48139397. The next prime is 48139417. The reversal of 48139416 is 61493184.

48139416 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 (48139417) 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, 24780 + ... + 26651.

It is an arithmetic number, because the mean of its divisors is an integer number (2925195).

Almost surely, 248139416 is an apocalyptic number.

It is an amenable number.

48139416 is an abundant number, since it is smaller than the sum of its proper divisors (92269944).

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

48139416 is a wasteful number, since it uses less digits than its factorization.

48139416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51456 (or 51449 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 48139416 is about 6938.2574181130. The cubic root of 48139416 is about 363.7756335781.

The spelling of 48139416 in words is "forty-eight million, one hundred thirty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 51431 102862 154293 205724 308586 411448 462879 617172 668603 925758 1234344 1337206 1851516 2005809 2674412 3703032 4011618 5348824 6017427 8023236 12034854 16046472 24069708 48139416