42251264 has 88 divisors (see below), whose sum is σ = 95897856. Its totient is φ = 18585600.

The previous prime is 42251227. The next prime is 42251267. The reversal of 42251264 is 46215224.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42251267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1362929 + ... + 1362959.

Almost surely, 2^42251264 is an apocalyptic number.

42251264 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 42251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47948928).

42251264 is an abundant number, since it is smaller than the sum of its proper divisors (53646592).

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

42251264 is an equidigital number, since it uses as much as digits as its factorization.

42251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 42251264 is about 6500.0972300420. The cubic root of 42251264 is about 348.2944616519.

Adding to 42251264 its reverse (46215224), we get a palindrome (88466488).

The spelling of 42251264 in words is "forty-two million, two hundred fifty-one thousand, two hundred sixty-four".