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39704 = 237709
BaseRepresentation
bin1001101100011000
32000110112
421230120
52232304
6503452
7223520
oct115430
960415
1039704
1127915
121ab88
13150c2
1410680
15bb6e
hex9b18

39704 has 16 divisors (see below), whose sum is σ = 85200. Its totient is φ = 16992.

The previous prime is 39703. The next prime is 39709. The reversal of 39704 is 40793.

It is a self number, because there is not a number n which added to its sum of digits gives 39704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39704.

It is not an unprimeable number, because it can be changed into a prime (39703) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 299 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (5325).

239704 is an apocalyptic number.

It is an amenable number.

39704 is an abundant number, since it is smaller than the sum of its proper divisors (45496).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42600).

39704 is a wasteful number, since it uses less digits than its factorization.

39704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 39704 is about 199.2586259112. The cubic root of 39704 is about 34.1149511754.

Subtracting 39704 from its reverse (40793), we obtain a square (1089 = 332).

The spelling of 39704 in words is "thirty-nine thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 28 56 709 1418 2836 4963 5672 9926 19852 39704