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42244344 = 2332837069
BaseRepresentation
bin1010000100100…
…1100011111000
32221111020100100
42201021203320
541303304334
64105235400
71022033232
oct241114370
987436310
1042244344
112193388a
1212192b60
1389a126c
145879252
153a96c99
hex28498f8

42244344 has 48 divisors (see below), whose sum is σ = 115806600. Its totient is φ = 13909824.

The previous prime is 42244333. The next prime is 42244357. The reversal of 42244344 is 44344224.

It is a happy number.

42244344 is a `hidden beast` number, since 4 + 224 + 434 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2442 + ... + 9510.

Almost surely, 242244344 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 42244344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57903300).

42244344 is an abundant number, since it is smaller than the sum of its proper divisors (73562256).

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

42244344 is a wasteful number, since it uses less digits than its factorization.

42244344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7157 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 42244344 is about 6499.5649085150. The cubic root of 42244344 is about 348.2754458163.

Adding to 42244344 its reverse (44344224), we get a palindrome (86588568).

The spelling of 42244344 in words is "forty-two million, two hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 7069 14138 21207 28276 42414 56552 63621 84828 127242 169656 254484 508968 586727 1173454 1760181 2346908 3520362 4693816 5280543 7040724 10561086 14081448 21122172 42244344