Search a number
-
+
42410112 = 273179617
BaseRepresentation
bin1010000111001…
…0000010000000
32221210122201220
42201302002000
541324110422
64112555040
71023323433
oct241620200
987718656
1042410112
1121a37388
1212252a80
138a2b854
1458bd81a
153acae5c
hex2872080

42410112 has 64 divisors (see below), whose sum is σ = 113464800. Its totient is φ = 14034944.

The previous prime is 42410101. The next prime is 42410117. The reversal of 42410112 is 21101424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 42410091 and 42410100.

It is not an unprimeable number, because it can be changed into a prime (42410117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68428 + ... + 69044.

Almost surely, 242410112 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 42410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56732400).

42410112 is an abundant number, since it is smaller than the sum of its proper divisors (71054688).

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

42410112 is a wasteful number, since it uses less digits than its factorization.

42410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42410112 is about 6512.3046611779. The cubic root of 42410112 is about 348.7303988161.

Adding to 42410112 its reverse (21101424), we get a palindrome (63511536).

The spelling of 42410112 in words is "forty-two million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 384 537 617 716 1074 1234 1432 1851 2148 2468 2864 3702 4296 4936 5728 7404 8592 9872 11456 14808 17184 19744 22912 29616 34368 39488 59232 68736 78976 110443 118464 220886 236928 331329 441772 662658 883544 1325316 1767088 2650632 3534176 5301264 7068352 10602528 14136704 21205056 42410112