47659752 has 240 divisors, whose sum is σ = 165528000. Its totient is φ = 12737088.

The previous prime is 47659751. The next prime is 47659757. The reversal of 47659752 is 25795674.

47659752 is a `hidden beast` number, since 4 + 7 + 6 + 597 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47659698 and 47659707.

It is not an unprimeable number, because it can be changed into a prime (47659751) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 603249 + ... + 603327.

It is an arithmetic number, because the mean of its divisors is an integer number (689700).

Almost surely, 2^47659752 is an apocalyptic number.

47659752 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 47659752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82764000).

47659752 is an abundant number, since it is smaller than the sum of its proper divisors (117868248).

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

47659752 is a wasteful number, since it uses less digits than its factorization.

47659752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 47659752 is about 6903.6042760286. The cubic root of 47659752 is about 362.5633709266.

The spelling of 47659752 in words is "forty-seven million, six hundred fifty-nine thousand, seven hundred fifty-two".