Search a number
-
+
40853736 = 23327117369
BaseRepresentation
bin1001101111011…
…0000011101000
32211212120210100
42123312003220
540424304421
64015345400
71004152050
oct233660350
984776710
1040853736
1121074020
1211822260
138605311
1455d6560
1538bec26
hex26f60e8

40853736 has 96 divisors (see below), whose sum is σ = 137966400. Its totient is φ = 10609920.

The previous prime is 40853723. The next prime is 40853767. The reversal of 40853736 is 63735804.

It is a happy number.

40853736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40853736.

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, 1860 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (1437150).

Almost surely, 240853736 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 40853736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68983200).

40853736 is an abundant number, since it is smaller than the sum of its proper divisors (97112664).

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

40853736 is a wasteful number, since it uses less digits than its factorization.

40853736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40853736 is about 6391.6927335409. The cubic root of 40853736 is about 344.4111947864.

It can be divided in two parts, 40 and 853736, that added together give a square (853776 = 9242).

The spelling of 40853736 in words is "forty million, eight hundred fifty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 7369 14738 22107 29476 44214 51583 58952 66321 81059 88428 103166 132642 154749 162118 176856 206332 243177 265284 309498 324236 412664 464247 486354 530568 567413 618996 648472 729531 928494 972708 1134826 1237992 1459062 1702239 1856988 1945416 2269652 2918124 3404478 3713976 4539304 5106717 5836248 6808956 10213434 13617912 20426868 40853736