56426448 has 80 divisors (see below), whose sum is σ = 162100736. Its totient is φ = 16796160.

The previous prime is 56426413. The next prime is 56426459. The reversal of 56426448 is 84462465.

56426448 = T₂₀₇ + T₂₀₈ + ... + T₇₀₂.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17886 + ... + 20802.

Almost surely, 2^56426448 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 56426448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81050368).

56426448 is an abundant number, since it is smaller than the sum of its proper divisors (105674288).

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

56426448 is a wasteful number, since it uses less digits than its factorization.

56426448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2966 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 56426448 is about 7511.7539895819. The cubic root of 56426448 is about 383.5549313988.

It can be divided in two parts, 5642 and 6448, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 56426448 in words is "fifty-six million, four hundred twenty-six thousand, four hundred forty-eight".