Search a number
-
+
47912292 = 22322945893
BaseRepresentation
bin1011011011000…
…1010101100100
310100011012022100
42312301111210
544231143132
64430532100
71121150661
oct266612544
9110135270
1047912292
112505523a
1214067030
139c0708c
146512a68
15431637c
hex2db1564

47912292 has 36 divisors (see below), whose sum is σ = 125290620. Its totient is φ = 15419712.

The previous prime is 47912261. The next prime is 47912297. The reversal of 47912292 is 29221974.

47912292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 31069476 = 4104^2 + 5574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47912297) 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, 21903 + ... + 23990.

It is an arithmetic number, because the mean of its divisors is an integer number (3480295).

Almost surely, 247912292 is an apocalyptic number.

It is an amenable number.

47912292 is an abundant number, since it is smaller than the sum of its proper divisors (77378328).

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

47912292 is a wasteful number, since it uses less digits than its factorization.

47912292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45932 (or 45927 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 47912292 is about 6921.8705564320. The cubic root of 47912292 is about 363.2026280319.

The spelling of 47912292 in words is "forty-seven million, nine hundred twelve thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 45893 91786 137679 183572 275358 413037 550716 826074 1330897 1652148 2661794 3992691 5323588 7985382 11978073 15970764 23956146 47912292