47545344 has 264 divisors, whose sum is σ = 173716608. Its totient is φ = 12165120.

The previous prime is 47545331. The next prime is 47545373. The reversal of 47545344 is 44354574.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a junction number, because it is equal to n+sod(n) for n = 47545299 and 47545308.

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 23 ways as a sum of consecutive naturals, for example, 709599 + ... + 709665.

Almost surely, 2^47545344 is an apocalyptic number.

47545344 is a gapful number since it is divisible by the number (44) 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 47545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86858304).

47545344 is an abundant number, since it is smaller than the sum of its proper divisors (126171264).

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

47545344 is a wasteful number, since it uses less digits than its factorization.

47545344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 47545344 is about 6895.3131908565. The cubic root of 47545344 is about 362.2730254115.

The spelling of 47545344 in words is "forty-seven million, five hundred forty-five thousand, three hundred forty-four".