Search a number
-
+
39703842 = 23223293307
BaseRepresentation
bin1001011101110…
…1010100100010
32202201011102200
42113131110202
540131010332
63534554030
7661322433
oct227352442
982634380
1039703842
11204590a2
1211368916
1382c1ac9
1453b748a
15374417c
hex25dd522

39703842 has 48 divisors (see below), whose sum is σ = 92888640. Its totient is φ = 12218976.

The previous prime is 39703817. The next prime is 39703843. The reversal of 39703842 is 24830793.

39703842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 39703797 and 39703806.

It is not an unprimeable number, because it can be changed into a prime (39703843) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10353 + ... + 13659.

It is an arithmetic number, because the mean of its divisors is an integer number (1935180).

Almost surely, 239703842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39703842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46444320).

39703842 is an abundant number, since it is smaller than the sum of its proper divisors (53184798).

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

39703842 is a wasteful number, since it uses less digits than its factorization.

39703842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 39703842 is about 6301.0984756628. The cubic root of 39703842 is about 341.1490592244.

The spelling of 39703842 in words is "thirty-nine million, seven hundred three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 3307 4002 6003 6614 9921 12006 19842 29763 59526 76061 95903 152122 191806 228183 287709 456366 575418 684549 863127 1369098 1726254 2205769 4411538 6617307 13234614 19851921 39703842