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42442464 = 253442109
BaseRepresentation
bin1010000111100…
…1111011100000
32221212022010010
42201321323200
541331124324
64113404520
71023516651
oct241717340
987768103
1042442464
1121a59719
1212269740
138a404ac
1458cb528
153ad5829
hex2879ee0

42442464 has 24 divisors (see below), whose sum is σ = 111411720. Its totient is φ = 14147456.

The previous prime is 42442427. The next prime is 42442469. The reversal of 42442464 is 46424424.

42442464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442469) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 220959 + ... + 221150.

It is an arithmetic number, because the mean of its divisors is an integer number (4642155).

Almost surely, 242442464 is an apocalyptic number.

It is an amenable number.

42442464 is an abundant number, since it is smaller than the sum of its proper divisors (68969256).

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

42442464 is a wasteful number, since it uses less digits than its factorization.

42442464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442122 (or 442114 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 42442464 is about 6514.7881009285. The cubic root of 42442464 is about 348.8190510875.

Adding to 42442464 its reverse (46424424), we get a palindrome (88866888).

The spelling of 42442464 in words is "forty-two million, four hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 442109 884218 1326327 1768436 2652654 3536872 5305308 7073744 10610616 14147488 21221232 42442464