Search a number
-
+
41656626 = 23311193691
BaseRepresentation
bin1001111011101…
…0000100110010
32220101101011000
42132322010302
541131003001
64044502430
71014034614
oct236720462
986341130
1041656626
1121572270
1211b4aa16
1388268bb
145764db4
1539cca86
hex27ba132

41656626 has 64 divisors (see below), whose sum is σ = 106329600. Its totient is φ = 11955600.

The previous prime is 41656597. The next prime is 41656633. The reversal of 41656626 is 62665614.

It is a happy number.

41656626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 9441 + ... + 13131.

It is an arithmetic number, because the mean of its divisors is an integer number (1661400).

Almost surely, 241656626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41656626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53164800).

41656626 is an abundant number, since it is smaller than the sum of its proper divisors (64672974).

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

41656626 is a wasteful number, since it uses less digits than its factorization.

41656626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3726 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 41656626 is about 6454.1944501231. The cubic root of 41656626 is about 346.6527877004.

The spelling of 41656626 in words is "forty-one million, six hundred fifty-six thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3691 3762 5643 7382 11073 11286 22146 33219 40601 66438 70129 81202 99657 121803 140258 199314 210387 243606 365409 420774 631161 730818 771419 1096227 1262322 1542838 1893483 2192454 2314257 3786966 4628514 6942771 13885542 20828313 41656626