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42422244 = 22329139877
BaseRepresentation
bin1010000111010…
…0111111100100
32221211021101020
42201310333210
541330002434
64113131140
71023404004
oct241647744
987737336
1042422244
1121a45507
1212259ab0
138a34227
1458c4004
153ace849
hex2874fe4

42422244 has 48 divisors (see below), whose sum is σ = 103252800. Its totient is φ = 13539456.

The previous prime is 42422243. The next prime is 42422257. The reversal of 42422244 is 44222424.

It is a super-3 number, since 3×424222443 (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42422243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47934 + ... + 48810.

It is an arithmetic number, because the mean of its divisors is an integer number (2151100).

Almost surely, 242422244 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 42422244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51626400).

42422244 is an abundant number, since it is smaller than the sum of its proper divisors (60830556).

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

42422244 is a wasteful number, since it uses less digits than its factorization.

42422244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

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

The square root of 42422244 is about 6513.2360620509. The cubic root of 42422244 is about 348.7636486995.

Adding to 42422244 its reverse (44222424), we get a palindrome (86644668).

The spelling of 42422244 in words is "forty-two million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 139 174 278 348 417 556 834 877 1668 1754 2631 3508 4031 5262 8062 10524 12093 16124 24186 25433 48372 50866 76299 101732 121903 152598 243806 305196 365709 487612 731418 1462836 3535187 7070374 10605561 14140748 21211122 42422244