47956608 has 192 divisors, whose sum is σ = 166545600. Its totient is φ = 12939264.

The previous prime is 47956603. The next prime is 47956637. The reversal of 47956608 is 80665974.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (47956603) 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 23 ways as a sum of consecutive naturals, for example, 153060 + ... + 153372.

It is an arithmetic number, because the mean of its divisors is an integer number (867425).

Almost surely, 2^47956608 is an apocalyptic number.

47956608 is a gapful number since it is divisible by the number (48) 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 47956608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83272800).

47956608 is an abundant number, since it is smaller than the sum of its proper divisors (118588992).

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

47956608 is a wasteful number, since it uses less digits than its factorization.

47956608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 47956608 is about 6925.0709743655. The cubic root of 47956608 is about 363.3145737492.

The spelling of 47956608 in words is "forty-seven million, nine hundred fifty-six thousand, six hundred eight".