42286096 has 30 divisors (see below), whose sum is σ = 86480142. Its totient is φ = 20027520.

The previous prime is 42286087. The next prime is 42286099. The reversal of 42286096 is 69068224.

42286096 = 146² + 147² + ... + 506².

It can be written as a sum of positive squares in only one way, i.e., 21492496 + 20793600 = 4636^2 + 4560^2 .

It is a super-2 number, since 2×42286096² = 3576227829842432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42286099) 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, 2116 + ... + 9436.

Almost surely, 2^42286096 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 42286096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43240071).

42286096 is an abundant number, since it is smaller than the sum of its proper divisors (44194046).

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

42286096 is a wasteful number, since it uses less digits than its factorization.

42286096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7367 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 42286096 is about 6502.7760225922. The cubic root of 42286096 is about 348.3901468397.

The spelling of 42286096 in words is "forty-two million, two hundred eighty-six thousand, ninety-six".