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42444234 = 23272291471
BaseRepresentation
bin1010000111101…
…0010111001010
32221212101112200
42201322113022
541331203414
64113421030
71023525060
oct241722712
987771480
1042444234
1121a5aa88
121226a776
138a41241
1458cc030
153ad6109
hex287a5ca

42444234 has 48 divisors (see below), whose sum is σ = 105630720. Its totient is φ = 12065760.

The previous prime is 42444221. The next prime is 42444247. The reversal of 42444234 is 43244424.

It is a happy number.

42444234 is a `hidden beast` number, since 424 + 4 + 4 + 234 = 666.

42444234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42444221) and next prime (42444247).

It is a junction number, because it is equal to n+sod(n) for n = 42444198 and 42444207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28119 + ... + 29589.

It is an arithmetic number, because the mean of its divisors is an integer number (2200640).

Almost surely, 242444234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52815360).

42444234 is an abundant number, since it is smaller than the sum of its proper divisors (63186486).

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

42444234 is a wasteful number, since it uses less digits than its factorization.

42444234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1712 counting only the distinct ones).

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

The square root of 42444234 is about 6514.9239442990. The cubic root of 42444234 is about 348.8239000138.

Adding to 42444234 its reverse (43244424), we get a palindrome (85688658).

The spelling of 42444234 in words is "forty-two million, four hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 229 458 687 1374 1471 1603 2061 2942 3206 4122 4413 4809 8826 9618 10297 13239 14427 20594 26478 28854 30891 61782 92673 185346 336859 673718 1010577 2021154 2358013 3031731 4716026 6063462 7074039 14148078 21222117 42444234