56142240 has 384 divisors, whose sum is σ = 232243200. Its totient is φ = 11289600.

The previous prime is 56142223. The next prime is 56142263. The reversal of 56142240 is 4224165.

It is a super-2 number, since 2×56142240² = 6303902224435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 56142240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811025 + ... + 1811055.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^56142240 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 56142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

56142240 is an abundant number, since it is smaller than the sum of its proper divisors (176100960).

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

56142240 is a wasteful number, since it uses less digits than its factorization.

56142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 56142240 is about 7492.8125560433. The cubic root of 56142240 is about 382.9098856996.

The spelling of 56142240 in words is "fifty-six million, one hundred forty-two thousand, two hundred forty".