Search a number
-
+
47347056 = 24322771187
BaseRepresentation
bin1011010010011…
…1010101110000
310022002110221200
42310213111300
544110101211
64410451200
71113305031
oct264472560
9108073850
1047347056
11247a95a9
1213a33b00
139a69a13
146406a88
154253b56
hex2d27570

47347056 has 60 divisors (see below), whose sum is σ = 133096392. Its totient is φ = 15712128.

The previous prime is 47347051. The next prime is 47347061. The reversal of 47347056 is 65074374.

47347056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47347051) and next prime (47347061).

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

It is a self number, because there is not a number n which added to its sum of digits gives 47347056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47347051) 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, 39295 + ... + 40481.

Almost surely, 247347056 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 47347056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66548196).

47347056 is an abundant number, since it is smaller than the sum of its proper divisors (85749336).

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

47347056 is a wasteful number, since it uses less digits than its factorization.

47347056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 47347056 is about 6880.9197059695. The cubic root of 47347056 is about 361.7687034213.

The spelling of 47347056 in words is "forty-seven million, three hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 277 554 831 1108 1187 1662 2216 2374 2493 3324 3561 4432 4748 4986 6648 7122 9496 9972 10683 13296 14244 18992 19944 21366 28488 39888 42732 56976 85464 170928 328799 657598 986397 1315196 1972794 2630392 2959191 3945588 5260784 5918382 7891176 11836764 15782352 23673528 47347056