Search a number
-
+
39968208 = 2433713217
BaseRepresentation
bin1001100001110…
…1110111010000
32210012121002000
42120131313100
540212440313
63544354000
7663503250
oct230356720
983177060
1039968208
1120619785
1211475900
138385237
145445960
153797673
hex261ddd0

39968208 has 80 divisors (see below), whose sum is σ = 131122560. Its totient is φ = 11418624.

The previous prime is 39968197. The next prime is 39968219. The reversal of 39968208 is 80286993.

39968208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39968197) and next prime (39968219).

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 15 ways as a sum of consecutive naturals, for example, 3585 + ... + 9632.

It is an arithmetic number, because the mean of its divisors is an integer number (1639032).

Almost surely, 239968208 is an apocalyptic number.

It is an amenable number.

39968208 is an abundant number, since it is smaller than the sum of its proper divisors (91154352).

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

39968208 is a wasteful number, since it uses less digits than its factorization.

39968208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13241 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 39968208 is about 6322.0414424456. The cubic root of 39968208 is about 341.9045593947.

The spelling of 39968208 in words is "thirty-nine million, nine hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 13217 26434 39651 52868 79302 92519 105736 118953 158604 185038 211472 237906 277557 317208 356859 370076 475812 555114 634416 713718 740152 832671 951624 1110228 1427436 1480304 1665342 1903248 2220456 2498013 2854872 3330684 4440912 4996026 5709744 6661368 9992052 13322736 19984104 39968208