56291300 has 144 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 18869760.

The previous prime is 56291297. The next prime is 56291303. The reversal of 56291300 is 319265.

It is an interprime number because it is at equal distance from previous prime (56291297) and next prime (56291303).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 56291300.

It is not an unprimeable number, because it can be changed into a prime (56291303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062074 + ... + 1062126.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 2^56291300 is an apocalyptic number.

56291300 is a gapful number since it is divisible by the number (50) 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 56291300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

56291300 is an abundant number, since it is smaller than the sum of its proper divisors (88074460).

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

56291300 is a wasteful number, since it uses less digits than its factorization.

56291300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 56291300 is about 7502.7528281292. The cubic root of 56291300 is about 383.2484668250.

The spelling of 56291300 in words is "fifty-six million, two hundred ninety-one thousand, three hundred".