47642700 has 144 divisors (see below), whose sum is σ = 161100800. Its totient is φ = 10866240.

The previous prime is 47642659. The next prime is 47642711. The reversal of 47642700 is 724674.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102669 + ... + 103131.

Almost surely, 2^47642700 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 47642700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80550400).

47642700 is an abundant number, since it is smaller than the sum of its proper divisors (113458100).

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

47642700 is a wasteful number, since it uses less digits than its factorization.

47642700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 47642700 is about 6902.3691584846. The cubic root of 47642700 is about 362.5201257158.

The spelling of 47642700 in words is "forty-seven million, six hundred forty-two thousand, seven hundred".