Search a number
-
+
47311992 = 23337132983
BaseRepresentation
bin1011010001111…
…0110001111000
310022000200212000
42310132301320
544102440432
64410021000
71113100560
oct264366170
9108020760
1047311992
1124785222
1213a17760
139a56a80
1463d7da0
15424857c
hex2d1ec78

47311992 has 256 divisors, whose sum is σ = 169344000. Its totient is φ = 11902464.

The previous prime is 47311981. The next prime is 47312009. The reversal of 47311992 is 29911374.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569983 + ... + 570065.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 247311992 is an apocalyptic number.

47311992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47311992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

47311992 is an abundant number, since it is smaller than the sum of its proper divisors (122032008).

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

47311992 is a wasteful number, since it uses less digits than its factorization.

47311992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 47311992 is about 6878.3713188516. The cubic root of 47311992 is about 361.6793758644.

The spelling of 47311992 in words is "forty-seven million, three hundred eleven thousand, nine hundred ninety-two".