47682432 has 224 divisors, whose sum is σ = 164999280. Its totient is φ = 13436928.

The previous prime is 47682431. The next prime is 47682449. The reversal of 47682432 is 23428674.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×47682432² = 4547228642869248, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (64512) is a multiple of the sum of its prime factors (112).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47682431) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 653148 + ... + 653220.

Almost surely, 2^47682432 is an apocalyptic number.

47682432 is a gapful number since it is divisible by the number (42) 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 47682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82499640).

47682432 is an abundant number, since it is smaller than the sum of its proper divisors (117316848).

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

47682432 is an frugal number, since it uses more digits than its factorization.

47682432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 47682432 is about 6905.2467008790. The cubic root of 47682432 is about 362.6208732068.

The spelling of 47682432 in words is "forty-seven million, six hundred eighty-two thousand, four hundred thirty-two".