47239200 has 198 divisors, whose sum is σ = 172983069. Its totient is φ = 12597120.

The previous prime is 47239177. The next prime is 47239219. The reversal of 47239200 is 293274.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 944784 = 6804^2 + 972^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4860.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 9447838 + ... + 9447842.

Almost surely, 2^47239200 is an apocalyptic number.

47239200 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 47239200

47239200 is an abundant number, since it is smaller than the sum of its proper divisors (125743869).

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

47239200 is an frugal number, since it uses more digits than its factorization.

47239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 47239200 is about 6873.0779131332. The cubic root of 47239200 is about 361.4937930444.

The spelling of 47239200 in words is "forty-seven million, two hundred thirty-nine thousand, two hundred".