42783264 has 72 divisors (see below), whose sum is σ = 122604300. Its totient is φ = 14151168.

The previous prime is 42783259. The next prime is 42783277. The reversal of 42783264 is 46238724.

It can be written as a sum of positive squares in 2 ways, for example, as 42771600 + 11664 = 6540^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42414 + ... + 43410.

Almost surely, 2^42783264 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 42783264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61302150).

42783264 is an abundant number, since it is smaller than the sum of its proper divisors (79821036).

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

42783264 is a wasteful number, since it uses less digits than its factorization.

42783264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42783264 is about 6540.8916823320. The cubic root of 42783264 is about 349.7501999879.

The spelling of 42783264 in words is "forty-two million, seven hundred eighty-three thousand, two hundred sixty-four".