55461952 has 112 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 21491712.

The previous prime is 55461937. The next prime is 55461953. The reversal of 55461952 is 25916455.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (55461953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518283 + ... + 518389.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^55461952 is an apocalyptic number.

55461952 is a gapful number since it is divisible by the number (52) 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 55461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

55461952 is an abundant number, since it is smaller than the sum of its proper divisors (82795328).

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

55461952 is a wasteful number, since it uses less digits than its factorization.

55461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The square root of 55461952 is about 7447.2781605094. The cubic root of 55461952 is about 381.3569950706.

The spelling of 55461952 in words is "fifty-five million, four hundred sixty-one thousand, nine hundred fifty-two".