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42243444 = 2234241541
BaseRepresentation
bin1010000100100…
…1010101110100
32221111012010000
42201021111310
541303242234
64105231300
71022030505
oct241112564
987435100
1042243444
1121933141
1212192530
1389a0a29
145878bac
153a96899
hex2849574

42243444 has 60 divisors (see below), whose sum is σ = 111095908. Its totient is φ = 13996800.

The previous prime is 42243413. The next prime is 42243497. The reversal of 42243444 is 44434224.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24502500 + 17740944 = 4950^2 + 4212^2 .

It is a super-2 number, since 2×422434442 = 3569017121962272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 77814 + ... + 78354.

Almost surely, 242243444 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 42243444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55547954).

42243444 is an abundant number, since it is smaller than the sum of its proper divisors (68852464).

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

42243444 is a wasteful number, since it uses less digits than its factorization.

42243444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

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

The square root of 42243444 is about 6499.4956727426. The cubic root of 42243444 is about 348.2729725059.

Adding to 42243444 its reverse (44434224), we get a palindrome (86677668).

The spelling of 42243444 in words is "forty-two million, two hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 324 482 541 723 964 1082 1446 1623 2164 2169 2892 3246 4338 4869 6492 6507 8676 9738 13014 14607 19476 19521 26028 29214 39042 43821 58428 78084 87642 130381 175284 260762 391143 521524 782286 1173429 1564572 2346858 3520287 4693716 7040574 10560861 14081148 21121722 42243444