Search a number
-
+
41036736 = 2631341401
BaseRepresentation
bin1001110010001…
…0101111000000
32212012212211010
42130202233000
541001133421
64023320520
71005543426
oct234425700
985185733
1041036736
1121189564
12118b0140
13866a6c0
145643116
153909076
hex2722bc0

41036736 has 112 divisors (see below), whose sum is σ = 120079008. Its totient is φ = 12288000.

The previous prime is 41036729. The next prime is 41036753. The reversal of 41036736 is 63763014.

It is a congruent number.

It is an unprimeable number.

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, 102136 + ... + 102536.

It is an arithmetic number, because the mean of its divisors is an integer number (1072134).

Almost surely, 241036736 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 41036736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60039504).

41036736 is an abundant number, since it is smaller than the sum of its proper divisors (79042272).

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

41036736 is a wasteful number, since it uses less digits than its factorization.

41036736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 41036736 is about 6405.9921948126. The cubic root of 41036736 is about 344.9246800498.

The spelling of 41036736 in words is "forty-one million, thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 156 164 192 208 246 312 328 401 416 492 533 624 656 802 832 984 1066 1203 1248 1312 1599 1604 1968 2132 2406 2496 2624 3198 3208 3936 4264 4812 5213 6396 6416 7872 8528 9624 10426 12792 12832 15639 16441 17056 19248 20852 25584 25664 31278 32882 34112 38496 41704 49323 51168 62556 65764 76992 83408 98646 102336 125112 131528 166816 197292 213733 250224 263056 333632 394584 427466 500448 526112 641199 789168 854932 1000896 1052224 1282398 1578336 1709864 2564796 3156672 3419728 5129592 6839456 10259184 13678912 20518368 41036736