47240820 has 180 divisors, whose sum is σ = 163569252. Its totient is φ = 11404800.

The previous prime is 47240813. The next prime is 47240833. The reversal of 47240820 is 2804274.

47240820 = T₁₇₅ + T₁₇₆ + ... + T₆₆₀.

47240820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 20738916 = 5148^2 + 4554^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195900 + ... + 196140.

Almost surely, 2^47240820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47240820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81784626).

47240820 is an abundant number, since it is smaller than the sum of its proper divisors (116328432).

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

47240820 is a wasteful number, since it uses less digits than its factorization.

47240820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 47240820 is about 6873.1957632531. The cubic root of 47240820 is about 361.4979252993.

The spelling of 47240820 in words is "forty-seven million, two hundred forty thousand, eight hundred twenty".