42793344 has 144 divisors (see below), whose sum is σ = 135795660. Its totient is φ = 12925440.

The previous prime is 42793343. The next prime is 42793367. The reversal of 42793344 is 44339724.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 42793299 and 42793308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42793343) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 139239 + ... + 139545.

Almost surely, 2^42793344 is an apocalyptic number.

42793344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897830).

42793344 is an abundant number, since it is smaller than the sum of its proper divisors (93002316).

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

42793344 is a wasteful number, since it uses less digits than its factorization.

42793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 42793344 is about 6541.6621740961. The cubic root of 42793344 is about 349.7776655967. Note that the first 3 decimals are identical.

The spelling of 42793344 in words is "forty-two million, seven hundred ninety-three thousand, three hundred forty-four".