47513600 has 102 divisors (see below), whose sum is σ = 121896030. Its totient is φ = 18350080.

The previous prime is 47513563. The next prime is 47513603. The reversal of 47513600 is 631574.

It can be written as a sum of positive squares in 3 ways, for example, as 3211264 + 44302336 = 1792^2 + 6656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47513600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47513603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1638386 + ... + 1638414.

Almost surely, 2^47513600 is an apocalyptic number.

47513600 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 47513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60948015).

47513600 is an abundant number, since it is smaller than the sum of its proper divisors (74382430).

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

47513600 is an frugal number, since it uses more digits than its factorization.

47513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 47513600 is about 6893.0109531322. The cubic root of 47513600 is about 362.1923827081.

The spelling of 47513600 in words is "forty-seven million, five hundred thirteen thousand, six hundred".