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40414836 = 223711191229
BaseRepresentation
bin1001101000101…
…0111001110100
32211001021201210
42122022321310
540321233321
64002121420
71000343340
oct232127164
984037653
1040414836
11208a42a0
1211650270
1384b0607
145520620
153834b76
hex268ae74

40414836 has 96 divisors (see below), whose sum is σ = 118702080. Its totient is φ = 10396800.

The previous prime is 40414817. The next prime is 40414849. The reversal of 40414836 is 63841404.

40414836 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 31 ways as a sum of consecutive naturals, for example, 176370 + ... + 176598.

It is an arithmetic number, because the mean of its divisors is an integer number (1236480).

Almost surely, 240414836 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 40414836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59351040).

40414836 is an abundant number, since it is smaller than the sum of its proper divisors (78287244).

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

40414836 is a wasteful number, since it uses less digits than its factorization.

40414836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 40414836 is about 6357.2663936632. The cubic root of 40414836 is about 343.1733916374.

The spelling of 40414836 in words is "forty million, four hundred fourteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 191 229 231 308 382 458 462 573 687 764 916 924 1146 1337 1374 1603 2101 2292 2519 2674 2748 3206 4011 4202 4809 5038 5348 6303 6412 7557 8022 8404 9618 10076 12606 14707 15114 16044 17633 19236 25212 29414 30228 35266 43739 44121 52899 58828 70532 87478 88242 105798 131217 174956 176484 211596 262434 306173 481129 524868 612346 918519 962258 1224692 1443387 1837038 1924516 2886774 3367903 3674076 5773548 6735806 10103709 13471612 20207418 40414836