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40286916 = 22331929677
BaseRepresentation
bin1001100110101…
…1101011000100
32210210210021000
42121223223010
540303140131
63555253300
7666301365
oct231535304
983723230
1040286916
112081717a
12115aa230
138467317
1454c9b6c
15380bce6
hex266bac4

40286916 has 96 divisors (see below), whose sum is σ = 113904000. Its totient is φ = 12265344.

The previous prime is 40286893. The next prime is 40286921. The reversal of 40286916 is 61968204.

40286916 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 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 31 ways as a sum of consecutive naturals, for example, 59170 + ... + 59846.

It is an arithmetic number, because the mean of its divisors is an integer number (1186500).

Almost surely, 240286916 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 40286916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56952000).

40286916 is an abundant number, since it is smaller than the sum of its proper divisors (73617084).

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

40286916 is a wasteful number, since it uses less digits than its factorization.

40286916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40286916 is about 6347.1974918069. The cubic root of 40286916 is about 342.8109410958.

The spelling of 40286916 in words is "forty million, two hundred eighty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 87 108 114 116 171 174 228 261 342 348 513 522 551 677 684 783 1026 1044 1102 1354 1566 1653 2031 2052 2204 2708 3132 3306 4062 4959 6093 6612 8124 9918 12186 12863 14877 18279 19633 19836 24372 25726 29754 36558 38589 39266 51452 58899 59508 73116 77178 78532 115767 117798 154356 176697 231534 235596 347301 353394 373027 463068 530091 694602 706788 746054 1060182 1119081 1389204 1492108 2120364 2238162 3357243 4476324 6714486 10071729 13428972 20143458 40286916