Search a number
-
+
42422544 = 24321511951
BaseRepresentation
bin1010000111010…
…1000100010000
32221211021210100
42201311010100
541330010134
64113132400
71023404613
oct241650420
987737710
1042422544
1121a4575a
121225a100
138a343c8
1458c417a
153ace999
hex2875110

42422544 has 60 divisors (see below), whose sum is σ = 119571712. Its totient is φ = 14040000.

The previous prime is 42422533. The next prime is 42422581. The reversal of 42422544 is 44522424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20769 + ... + 22719.

Almost surely, 242422544 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 42422544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59785856).

42422544 is an abundant number, since it is smaller than the sum of its proper divisors (77149168).

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

42422544 is a wasteful number, since it uses less digits than its factorization.

42422544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2107 counting only the distinct ones).

The product of its digits is 10240, while the sum is 27.

The square root of 42422544 is about 6513.2590920368. The cubic root of 42422544 is about 348.7644708221.

Adding to 42422544 its reverse (44522424), we get a palindrome (86944968).

It can be divided in two parts, 4242 and 2544, that added together give a triangular number (6786 = T116).

The spelling of 42422544 in words is "forty-two million, four hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 1951 2416 2718 3624 3902 5436 5853 7248 7804 10872 11706 15608 17559 21744 23412 31216 35118 46824 70236 93648 140472 280944 294601 589202 883803 1178404 1767606 2356808 2651409 3535212 4713616 5302818 7070424 10605636 14140848 21211272 42422544