47956500 has 72 divisors (see below), whose sum is σ = 151300968. Its totient is φ = 12787200.

The previous prime is 47956499. The next prime is 47956501. The reversal of 47956500 is 565974.

It is an interprime number because it is at equal distance from previous prime (47956499) and next prime (47956501).

It can be written as a sum of positive squares in 4 ways, for example, as 10575504 + 37380996 = 3252^2 + 6114^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47956501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829 + ... + 9828.

Almost surely, 2^47956500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47956500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75650484).

47956500 is an abundant number, since it is smaller than the sum of its proper divisors (103344468).

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

47956500 is a wasteful number, since it uses less digits than its factorization.

47956500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10667 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 47956500 is about 6925.0631766071. The cubic root of 47956500 is about 363.3143010165.

The spelling of 47956500 in words is "forty-seven million, nine hundred fifty-six thousand, five hundred".