Search a number
-
+
5938968 = 2337232953
BaseRepresentation
bin10110101001111100011000
3102011201201210
4112221330120
53010021333
6331143120
7101323530
oct26517430
912151653
105938968
113397042
121ba4aa0
1312cc2a9
14b084c0
157c4a63
hex5a9f18

5938968 has 128 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 1537536.

The previous prime is 5938957. The next prime is 5938993. The reversal of 5938968 is 8698395.

5938968 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 24372-1.

It is an Ulam number.

5938968 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112030 + ... + 112082.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 25938968 is an apocalyptic number.

5938968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5938968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200).

5938968 is an abundant number, since it is smaller than the sum of its proper divisors (12723432).

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

5938968 is a wasteful number, since it uses less digits than its factorization.

5938968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 5938968 is about 2436.9997948297. Note that the first 3 decimals coincide. The cubic root of 5938968 is about 181.0938333000.

The spelling of 5938968 in words is "five million, nine hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 29 42 46 53 56 58 69 84 87 92 106 116 138 159 161 168 174 184 203 212 232 276 318 322 348 371 406 424 483 552 609 636 644 667 696 742 812 966 1113 1218 1219 1272 1288 1334 1484 1537 1624 1932 2001 2226 2436 2438 2668 2968 3074 3657 3864 4002 4452 4611 4669 4872 4876 5336 6148 7314 8004 8533 8904 9222 9338 9752 10759 12296 14007 14628 16008 17066 18444 18676 21518 25599 28014 29256 32277 34132 35351 36888 37352 43036 51198 56028 64554 68264 70702 86072 102396 106053 112056 129108 141404 204792 212106 247457 258216 282808 424212 494914 742371 848424 989828 1484742 1979656 2969484 5938968