47533248 has 84 divisors (see below), whose sum is σ = 155722320. Its totient is φ = 13579776.

The previous prime is 47533237. The next prime is 47533253. The reversal of 47533248 is 84233574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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

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 11 ways as a sum of consecutive naturals, for example, 1863 + ... + 9926.

Almost surely, 2^47533248 is an apocalyptic number.

47533248 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 47533248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77861160).

47533248 is an abundant number, since it is smaller than the sum of its proper divisors (108189072).

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

47533248 is a wasteful number, since it uses less digits than its factorization.

47533248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11814 (or 11801 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 47533248 is about 6894.4360175434. The cubic root of 47533248 is about 362.2423008736.

It can be divided in two parts, 4753 and 3248, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 47533248 in words is "forty-seven million, five hundred thirty-three thousand, two hundred forty-eight".