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39816 = 2332779
BaseRepresentation
bin1001101110001000
32000121200
421232020
52233231
6504200
7224040
oct115610
960550
1039816
1127a07
121b060
131517a
1410720
15bbe6
hex9b88

39816 has 48 divisors (see below), whose sum is σ = 124800. Its totient is φ = 11232.

The previous prime is 39799. The next prime is 39821. The reversal of 39816 is 61893.

It can be divided in two parts, 398 and 16, that added together give a palindrome (414).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 39816.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (2600).

239816 is an apocalyptic number.

39816 is a gapful number since it is divisible by the number (36) 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 39816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62400).

39816 is an abundant number, since it is smaller than the sum of its proper divisors (84984).

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

39816 is a wasteful number, since it uses less digits than its factorization.

39816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 39816 is about 199.5394697798. The cubic root of 39816 is about 34.1469990582.

The spelling of 39816 in words is "thirty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 4424 4977 5688 6636 9954 13272 19908 39816