56284100 has 18 divisors (see below), whose sum is σ = 122136714. Its totient is φ = 22513600.

The previous prime is 56284091. The next prime is 56284117. The reversal of 56284100 is 148265.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 56280004 = 64^2 + 7502^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56284100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281321 + ... + 281520.

It is an arithmetic number, because the mean of its divisors is an integer number (6785373).

Almost surely, 2^56284100 is an apocalyptic number.

56284100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56284100 is an abundant number, since it is smaller than the sum of its proper divisors (65852614).

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

56284100 is a wasteful number, since it uses less digits than its factorization.

56284100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562855 (or 562848 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 56284100 is about 7502.2729889014. The cubic root of 56284100 is about 383.2321261908.

The spelling of 56284100 in words is "fifty-six million, two hundred eighty-four thousand, one hundred".