Search a number
-
+
47942244 = 223271719231
BaseRepresentation
bin1011011011100…
…0101001100100
310100012201101200
42312320221210
544233122434
64431322500
71121334210
oct266705144
9110181350
1047942244
1125075799
1214080430
139c178bc
14651d940
154320199
hex2db8a64

47942244 has 216 divisors, whose sum is σ = 159763968. Its totient is φ = 11819520.

The previous prime is 47942231. The next prime is 47942267. The reversal of 47942244 is 44224974.

47942244 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 junction number, because it is equal to n+sod(n) for n = 47942199 and 47942208.

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 71 ways as a sum of consecutive naturals, for example, 1546509 + ... + 1546539.

It is an arithmetic number, because the mean of its divisors is an integer number (739648).

Almost surely, 247942244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47942244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

47942244 is an abundant number, since it is smaller than the sum of its proper divisors (111821724).

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

47942244 is a wasteful number, since it uses less digits than its factorization.

47942244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 47942244 is about 6924.0337954115. The cubic root of 47942244 is about 363.2782967072.

The spelling of 47942244 in words is "forty-seven million, nine hundred forty-two thousand, two hundred forty-four".