47249600 has 42 divisors (see below), whose sum is σ = 116267484. Its totient is φ = 18899200.

The previous prime is 47249597. The next prime is 47249627. The reversal of 47249600 is 694274.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13166 + ... + 16365.

Almost surely, 2^47249600 is an apocalyptic number.

47249600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47249600 is an abundant number, since it is smaller than the sum of its proper divisors (69017884).

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

47249600 is a wasteful number, since it uses less digits than its factorization.

47249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29553 (or 29538 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 47249600 is about 6873.8344466535. The cubic root of 47249600 is about 361.5203194574.

The spelling of 47249600 in words is "forty-seven million, two hundred forty-nine thousand, six hundred".