Search a number
-
+
41112656 = 241319101103
BaseRepresentation
bin1001110011010…
…1010001010000
32212100201221222
42130311101100
541011101111
64025104212
71006310654
oct234652120
985321858
1041112656
1121230602
1211928068
138696120
145662a64
1539217db
hex2735450

41112656 has 80 divisors (see below), whose sum is σ = 92077440. Its totient is φ = 17625600.

The previous prime is 41112653. The next prime is 41112679. The reversal of 41112656 is 65621114.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41112653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399101 + ... + 399203.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 241112656 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 41112656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46038720).

41112656 is an abundant number, since it is smaller than the sum of its proper divisors (50964784).

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

41112656 is a wasteful number, since it uses less digits than its factorization.

41112656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 41112656 is about 6411.9151585154. The cubic root of 41112656 is about 345.1372582740.

The spelling of 41112656 in words is "forty-one million, one hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 101 103 104 152 202 206 208 247 304 404 412 494 808 824 988 1313 1339 1616 1648 1919 1957 1976 2626 2678 3838 3914 3952 5252 5356 7676 7828 10403 10504 10712 15352 15656 20806 21008 21424 24947 25441 30704 31312 41612 49894 50882 83224 99788 101764 135239 166448 197657 199576 203528 270478 395314 399152 407056 540956 790628 1081912 1581256 2163824 2569541 3162512 5139082 10278164 20556328 41112656