42286144 has 42 divisors (see below), whose sum is σ = 87788750. Its totient is φ = 20207616.

The previous prime is 42286141. The next prime is 42286159. The reversal of 42286144 is 44168224.

It can be written as a sum of positive squares in only one way, i.e., 34668544 + 7617600 = 5888^2 + 2760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42286141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33232 + ... + 34480.

Almost surely, 2^42286144 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 42286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43894375).

42286144 is an abundant number, since it is smaller than the sum of its proper divisors (45502606).

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

42286144 is a wasteful number, since it uses less digits than its factorization.

42286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1274 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 42286144 is about 6502.7797133226. The cubic root of 42286144 is about 348.3902786617.

It can be divided in two parts, 4 and 2286144, that multiplied together give a square (9144576 = 3024²).

The spelling of 42286144 in words is "forty-two million, two hundred eighty-six thousand, one hundred forty-four".