Search a number
-
+
39946842 = 23213533221
BaseRepresentation
bin1001100001100…
…0101001011010
32210011111202200
42120120221122
540211244332
63544111030
7663354045
oct230305132
983144680
1039946842
1120604721
1211465476
1383785b0
14543bc5c
15379117c
hex2618a5a

39946842 has 48 divisors (see below), whose sum is σ = 94997448. Its totient is φ = 12055680.

The previous prime is 39946783. The next prime is 39946853. The reversal of 39946842 is 24864993.

It can be written as a sum of positive squares in 4 ways, for example, as 35748441 + 4198401 = 5979^2 + 2049^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10792 + ... + 14012.

Almost surely, 239946842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39946842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47498724).

39946842 is an abundant number, since it is smaller than the sum of its proper divisors (55050606).

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

39946842 is a wasteful number, since it uses less digits than its factorization.

39946842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3292 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 39946842 is about 6320.3514142807. The cubic root of 39946842 is about 341.8436240056.

The spelling of 39946842 in words is "thirty-nine million, nine hundred forty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 3221 4134 6201 6442 9663 12402 19326 28989 41873 57978 83746 125619 170713 251238 341426 376857 512139 753714 1024278 1536417 2219269 3072834 4438538 6657807 13315614 19973421 39946842