47906208 has 144 divisors (see below), whose sum is σ = 161501760. Its totient is φ = 13533696.

The previous prime is 47906203. The next prime is 47906213. The reversal of 47906208 is 80260974.

It is an interprime number because it is at equal distance from previous prime (47906203) and next prime (47906213).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (47906203) 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, 538228 + ... + 538316.

It is an arithmetic number, because the mean of its divisors is an integer number (1121540).

Almost surely, 2^47906208 is an apocalyptic number.

47906208 is a gapful number since it is divisible by the number (48) 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 47906208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80750880).

47906208 is an abundant number, since it is smaller than the sum of its proper divisors (113595552).

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

47906208 is an equidigital number, since it uses as much as digits as its factorization.

47906208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 47906208 is about 6921.4310658996. The cubic root of 47906208 is about 363.1872539790.

Multiplying 47906208 by its product of nonzero digits (24192), we get a square (1158946983936 = 1076544²).

The spelling of 47906208 in words is "forty-seven million, nine hundred six thousand, two hundred eight".