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42244422 = 231117231637
BaseRepresentation
bin1010000100100…
…1100101000110
32221111020110020
42201021211012
541303310142
64105240010
71022033403
oct241114506
987436406
1042244422
1121933950
1212193006
1389a12cc
1458792aa
153a96cec
hex2849946

42244422 has 64 divisors (see below), whose sum is σ = 101896704. Its totient is φ = 11517440.

The previous prime is 42244421. The next prime is 42244453. The reversal of 42244422 is 22444224.

It is a super-2 number, since 2×422444222 = 3569182380228168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42244392 and 42244401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42244421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24988 + ... + 26624.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 242244422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42244422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

42244422 is an abundant number, since it is smaller than the sum of its proper divisors (59652282).

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

42244422 is a wasteful number, since it uses less digits than its factorization.

42244422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693.

The product of its digits is 4096, while the sum is 24.

The square root of 42244422 is about 6499.5709089139. The cubic root of 42244422 is about 348.2756601682.

Adding to 42244422 its reverse (22444224), we get a palindrome (64688646).

It can be divided in two parts, 4224 and 4422, that added together give a triangular number (8646 = T131).

The spelling of 42244422 in words is "forty-two million, two hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 253 374 391 506 561 759 782 1122 1173 1518 1637 2346 3274 4301 4911 8602 9822 12903 18007 25806 27829 36014 37651 54021 55658 75302 83487 108042 112953 166974 225906 306119 414161 612238 640067 828322 918357 1242483 1280134 1836714 1920201 2484966 3840402 7040737 14081474 21122211 42244422