Search a number
-
+
61642536 = 23319135181
BaseRepresentation
bin1110101100100…
…1011100101000
311021222202122220
43223021130220
5111240030121
610041114040
71345644564
oct353113450
9137882586
1061642536
1131882a4a
1218788920
13ca03797
1482886a4
1556296c6
hex3ac9728

61642536 has 32 divisors (see below), whose sum is σ = 162218400. Its totient is φ = 19465920.

The previous prime is 61642501. The next prime is 61642541. The reversal of 61642536 is 63524616.

61642536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×616425362 = 7599604489022592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61642497 and 61642506.

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 7 ways as a sum of consecutive naturals, for example, 67135 + ... + 68046.

It is an arithmetic number, because the mean of its divisors is an integer number (5069325).

Almost surely, 261642536 is an apocalyptic number.

It is an amenable number.

61642536 is an abundant number, since it is smaller than the sum of its proper divisors (100575864).

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

61642536 is a wasteful number, since it uses less digits than its factorization.

61642536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135209 (or 135205 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 61642536 is about 7851.2760746263. The cubic root of 61642536 is about 395.0270472319.

The spelling of 61642536 in words is "sixty-one million, six hundred forty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 135181 270362 405543 540724 811086 1081448 1622172 2568439 3244344 5136878 7705317 10273756 15410634 20547512 30821268 61642536