Search a number
-
+
48112218 = 23472111929
BaseRepresentation
bin1011011110001…
…0001001011010
310100112100120000
42313202021122
544304042333
64435113430
71122642600
oct267421132
9110470500
1048112218
1125181470
1214142876
139c7708b
146565870
154355713
hex2de225a

48112218 has 240 divisors, whose sum is σ = 148975200. Its totient is φ = 11430720.

The previous prime is 48112177. The next prime is 48112219. The reversal of 48112218 is 81221184.

48112218 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 48112191 and 48112200.

It is not an unprimeable number, because it can be changed into a prime (48112219) 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 119 ways as a sum of consecutive naturals, for example, 1659028 + ... + 1659056.

It is an arithmetic number, because the mean of its divisors is an integer number (620730).

Almost surely, 248112218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48112218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74487600).

48112218 is an abundant number, since it is smaller than the sum of its proper divisors (100862982).

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

48112218 is a wasteful number, since it uses less digits than its factorization.

48112218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 48112218 is about 6936.2971389640. The cubic root of 48112218 is about 363.7071115339.

The spelling of 48112218 in words is "forty-eight million, one hundred twelve thousand, two hundred eighteen".