Search a number
-
+
41068272 = 2437219919
BaseRepresentation
bin1001110010101…
…0011011110000
32212021111002010
42130222123300
541003141042
64024122520
71006034400
oct234523360
985244063
1041068272
1121200223
1211906440
13867bb6b
145650800
15391359c
hex272a6f0

41068272 has 120 divisors (see below), whose sum is σ = 130051200. Its totient is φ = 11104128.

The previous prime is 41068259. The next prime is 41068283. The reversal of 41068272 is 27286014.

41068272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 44229 + ... + 45147.

It is an arithmetic number, because the mean of its divisors is an integer number (1083760).

Almost surely, 241068272 is an apocalyptic number.

41068272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41068272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65025600).

41068272 is an abundant number, since it is smaller than the sum of its proper divisors (88982928).

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

41068272 is a wasteful number, since it uses less digits than its factorization.

41068272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 41068272 is about 6408.4531674968. The cubic root of 41068272 is about 345.0130135818.

The spelling of 41068272 in words is "forty-one million, sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 919 931 1064 1176 1596 1838 1862 2128 2352 2757 2793 3192 3676 3724 5514 5586 6384 6433 7352 7448 11028 11172 12866 14704 14896 17461 19299 22056 22344 25732 34922 38598 44112 44688 45031 51464 52383 69844 77196 90062 102928 104766 122227 135093 139688 154392 180124 209532 244454 270186 279376 308784 360248 366681 419064 488908 540372 720496 733362 838128 855589 977816 1080744 1466724 1711178 1955632 2161488 2566767 2933448 3422356 5133534 5866896 6844712 10267068 13689424 20534136 41068272