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40105845 = 32513179383
BaseRepresentation
bin1001100011111…
…1011101110101
32210110120212200
42120333131311
540231341340
63551335113
7664615443
oct230773565
983416780
1040105845
112070312a
1211521499
138402a90
14547db93
1537c3330
hex263f775

40105845 has 48 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 19582848.

The previous prime is 40105829. The next prime is 40105861. The reversal of 40105845 is 54850104.

It is an interprime number because it is at equal distance from previous prime (40105829) and next prime (40105861).

It is not a de Polignac number, because 40105845 - 24 = 40105829 is a prime.

Together with 35373195 it forms an amicable pair .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104524 + ... + 104906.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 240105845 is an apocalyptic number.

40105845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40105845 is a deficient number, since it is larger than the sum of its proper divisors (35373195).

40105845 is a wasteful number, since it uses less digits than its factorization.

40105845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 40105845 is about 6332.9175740728. The cubic root of 40105845 is about 342.2965776612.

Adding to 40105845 its reverse (54850104), we get a palindrome (94955949).

The spelling of 40105845 in words is "forty million, one hundred five thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 179 195 383 537 585 895 1149 1611 1915 2327 2685 3447 4979 5745 6981 8055 11635 14937 17235 20943 24895 34905 44811 68557 74685 104715 205671 224055 342785 617013 891241 1028355 2673723 3085065 4456205 8021169 13368615 40105845