49623552 has 180 divisors, whose sum is σ = 159189030. Its totient is φ = 14868480.

The previous prime is 49623517. The next prime is 49623559. The reversal of 49623552 is 25532694.

49623552 is a `hidden beast` number, since 49 + 62 + 3 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47114496 + 2509056 = 6864^2 + 1584^2 .

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

Its product of digits (64800) is a multiple of the sum of its prime factors (135).

It is not an unprimeable number, because it can be changed into a prime (49623559) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 557524 + ... + 557612.

Almost surely, 2^49623552 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 49623552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79594515).

49623552 is an abundant number, since it is smaller than the sum of its proper divisors (109565478).

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

49623552 is a wasteful number, since it uses less digits than its factorization.

49623552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 49623552 is about 7044.3986258587. The cubic root of 49623552 is about 367.4762555810.

The spelling of 49623552 in words is "forty-nine million, six hundred twenty-three thousand, five hundred fifty-two".