55957248 has 108 divisors (see below), whose sum is σ = 163417800. Its totient is φ = 18413568.

The previous prime is 55957247. The next prime is 55957267. The reversal of 55957248 is 84275955.

55957248 is a `hidden beast` number, since 559 + 57 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55957243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343215 + ... + 343377.

Almost surely, 2^55957248 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 55957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81708900).

55957248 is an abundant number, since it is smaller than the sum of its proper divisors (107460552).

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

55957248 is a wasteful number, since it uses less digits than its factorization.

55957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 55957248 is about 7480.4577400050. The cubic root of 55957248 is about 382.4888526804.

The spelling of 55957248 in words is "fifty-five million, nine hundred fifty-seven thousand, two hundred forty-eight".