Search a number
-
+
47291856 = 2431138719
BaseRepresentation
bin1011010001100…
…1110111010000
310021222200020020
42310121313100
544101314411
64405343440
71112655063
oct264316720
9107880206
1047291856
1124771087
1213a07b80
139a4a861
1463d08da
154242606
hex2d19dd0

47291856 has 40 divisors (see below), whose sum is σ = 123265920. Its totient is φ = 15622656.

The previous prime is 47291851. The next prime is 47291869. The reversal of 47291856 is 65819274.

47291856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47291851) 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 7 ways as a sum of consecutive naturals, for example, 1065 + ... + 9783.

It is an arithmetic number, because the mean of its divisors is an integer number (3081648).

Almost surely, 247291856 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 47291856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61632960).

47291856 is an abundant number, since it is smaller than the sum of its proper divisors (75974064).

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

47291856 is a wasteful number, since it uses less digits than its factorization.

47291856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843 (or 8837 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 47291856 is about 6876.9074444840. The cubic root of 47291856 is about 361.6280582947.

The spelling of 47291856 in words is "forty-seven million, two hundred ninety-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 8719 17438 26157 34876 52314 69752 104628 139504 209256 418512 985247 1970494 2955741 3940988 5911482 7881976 11822964 15763952 23645928 47291856