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42404112 = 2432389757
BaseRepresentation
bin1010000111000…
…0100100010000
32221210100111200
42201300210100
541323412422
64112511200
71023300102
oct241604420
987710450
1042404112
1121a32923
121224b500
138a28bba
1458bb572
153ac92ac
hex2870910

42404112 has 60 divisors (see below), whose sum is σ = 119134860. Its totient is φ = 14079744.

The previous prime is 42404093. The next prime is 42404113. The reversal of 42404112 is 21140424.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 24561936 = 4224^2 + 4956^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42404113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55638 + ... + 56394.

It is an arithmetic number, because the mean of its divisors is an integer number (1985581).

Almost surely, 242404112 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 42404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59567430).

42404112 is an abundant number, since it is smaller than the sum of its proper divisors (76730748).

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

42404112 is a wasteful number, since it uses less digits than its factorization.

42404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42404112 is about 6511.8439784749. The cubic root of 42404112 is about 348.7139524155.

Adding to 42404112 its reverse (21140424), we get a palindrome (63544536).

The spelling of 42404112 in words is "forty-two million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389 757 778 1167 1514 1556 2271 2334 3028 3112 3501 4542 4668 6056 6224 6813 7002 9084 9336 12112 13626 14004 18168 18672 27252 28008 36336 54504 56016 109008 294473 588946 883419 1177892 1766838 2355784 2650257 3533676 4711568 5300514 7067352 10601028 14134704 21202056 42404112