Search a number
-
+
39982005 = 36571567
BaseRepresentation
bin1001100010000…
…1001110110101
32210020022000000
42120201032311
540213411010
63544541513
7663561420
oct230411665
983208000
1039982005
1120629088
1211481899
13838b5bb
14544a9b7
15379b7c0
hex26213b5

39982005 has 56 divisors (see below), whose sum is σ = 82263552. Its totient is φ = 18265824.

The previous prime is 39982003. The next prime is 39982037. The reversal of 39982005 is 50028993.

It is not a de Polignac number, because 39982005 - 21 = 39982003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39982001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24732 + ... + 26298.

It is an arithmetic number, because the mean of its divisors is an integer number (1468992).

Almost surely, 239982005 is an apocalyptic number.

39982005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

39982005 is an abundant number, since it is smaller than the sum of its proper divisors (42281547).

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

39982005 is an equidigital number, since it uses as much as digits as its factorization.

39982005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 39982005 is about 6323.1325306370. The cubic root of 39982005 is about 341.9438966142.

The spelling of 39982005 in words is "thirty-nine million, nine hundred eighty-two thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1567 1701 2835 3645 4701 5103 7835 8505 10969 14103 23505 25515 32907 42309 54845 70515 98721 126927 164535 211545 296163 380781 493605 634635 888489 1142343 1480815 1903905 2665467 4442445 5711715 7996401 13327335 39982005