Search a number
-
+
40806612 = 22337211701
BaseRepresentation
bin1001101110101…
…0100011010100
32211210012011000
42123222203110
540421302422
64014343300
71003564500
oct233524324
984705130
1040806612
1121041680
12117bab30
1385b9a32
1455c3300
1538b0cac
hex26ea8d4

40806612 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 10584000.

The previous prime is 40806593. The next prime is 40806637. The reversal of 40806612 is 21660804.

40806612 is a `hidden beast` number, since 40 + 8 + 0 + 6 + 612 = 666.

40806612 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 (27).

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 47 ways as a sum of consecutive naturals, for example, 57862 + ... + 58562.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 240806612 is an apocalyptic number.

40806612 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 40806612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

40806612 is an abundant number, since it is smaller than the sum of its proper divisors (93640428).

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

40806612 is a wasteful number, since it uses less digits than its factorization.

40806612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 724 counting only the distinct ones).

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

The square root of 40806612 is about 6388.0053224774. The cubic root of 40806612 is about 344.2787199377.

The spelling of 40806612 in words is "forty million, eight hundred six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 701 756 882 924 1078 1188 1323 1386 1402 1617 1764 2079 2103 2156 2646 2772 2804 3234 4158 4206 4851 4907 5292 6309 6468 7711 8316 8412 9702 9814 12618 14553 14721 15422 18927 19404 19628 23133 25236 29106 29442 30844 34349 37854 44163 46266 53977 58212 58884 68698 69399 75708 88326 92532 103047 107954 132489 137396 138798 161931 176652 206094 208197 215908 264978 277596 309141 323862 377839 412188 416394 485793 529956 618282 647724 755678 832788 927423 971586 1133517 1236564 1457379 1511356 1854846 1943172 2267034 2914758 3400551 3709692 4534068 5829516 6801102 10201653 13602204 20403306 40806612