47542656 has 128 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 12976128.

The previous prime is 47542631. The next prime is 47542661. The reversal of 47542656 is 65624574.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61440 + ... + 62208.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^47542656 is an apocalyptic number.

47542656 is a gapful number since it is divisible by the number (46) 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 47542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

47542656 is an abundant number, since it is smaller than the sum of its proper divisors (103254144).

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

47542656 is a wasteful number, since it uses less digits than its factorization.

47542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 47542656 is about 6895.1182730973. The cubic root of 47542656 is about 362.2661981868.

The spelling of 47542656 in words is "forty-seven million, five hundred forty-two thousand, six hundred fifty-six".