Search a number
-
+
47230560 = 2533513292
BaseRepresentation
bin1011010000101…
…0111001100000
310021212120011000
42310022321200
544042334220
64404152000
71112311266
oct264127140
9107776130
1047230560
112472a023
1213998600
139a289a0
1463b6436
15422e390
hex2d0ae60

47230560 has 288 divisors, whose sum is σ = 184373280. Its totient is φ = 11225088.

The previous prime is 47230543. The next prime is 47230567. The reversal of 47230560 is 6503274.

It is a happy number.

47230560 is a `hidden beast` number, since 4 + 72 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47230567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1628626 + ... + 1628654.

It is an arithmetic number, because the mean of its divisors is an integer number (640185).

Almost surely, 247230560 is an apocalyptic number.

47230560 is a gapful number since it is divisible by the number (40) 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 47230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92186640).

47230560 is an abundant number, since it is smaller than the sum of its proper divisors (137142720).

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

47230560 is a wasteful number, since it uses less digits than its factorization.

47230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 47230560 is about 6872.4493450298. The cubic root of 47230560 is about 361.4717527557.

The spelling of 47230560 in words is "forty-seven million, two hundred thirty thousand, five hundred sixty".