Search a number
-
+
41129244 = 223213233821
BaseRepresentation
bin1001110011100…
…1010100011100
32212101120201100
42130321110130
541012113434
64025313100
71006410222
oct234712434
985346640
1041129244
1121242012
1211935790
1386a0840
145668b12
153926699
hex273951c

41129244 has 72 divisors (see below), whose sum is σ = 116861472. Its totient is φ = 12101760.

The previous prime is 41129233. The next prime is 41129251. The reversal of 41129244 is 44292114.

It is a happy number.

41129244 is a `hidden beast` number, since 411 + 2 + 9 + 244 = 666.

41129244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×411292442 = 3383229424023072, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8854 + ... + 12674.

It is an arithmetic number, because the mean of its divisors is an integer number (1623076).

Almost surely, 241129244 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 41129244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58430736).

41129244 is an abundant number, since it is smaller than the sum of its proper divisors (75732228).

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

41129244 is a wasteful number, since it uses less digits than its factorization.

41129244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3862 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 41129244 is about 6413.2085573448. The cubic root of 41129244 is about 345.1836703166.

The spelling of 41129244 in words is "forty-one million, one hundred twenty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 3821 5382 7642 10764 11463 15284 22926 34389 45852 49673 68778 87883 99346 137556 149019 175766 198692 263649 298038 351532 447057 527298 596076 790947 894114 1054596 1142479 1581894 1788228 2284958 3163788 3427437 4569916 6854874 10282311 13709748 20564622 41129244