Search a number
-
+
26329842 = 2327113157
BaseRepresentation
bin110010001110…
…0001011110010
31211112200202100
41210130023302
523220023332
62340201230
7436541250
oct144341362
954480670
1026329842
1113954000
128999216
1355bb5b6
1436d55d0
1524a167c
hex191c2f2

26329842 has 96 divisors (see below), whose sum is σ = 72169344. Its totient is φ = 6795360.

The previous prime is 26329837. The next prime is 26329843. The reversal of 26329842 is 24892362.

It is a junction number, because it is equal to n+sod(n) for n = 26329797 and 26329806.

It is not an unprimeable number, because it can be changed into a prime (26329843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167628 + ... + 167784.

It is an arithmetic number, because the mean of its divisors is an integer number (751764).

Almost surely, 226329842 is an apocalyptic number.

26329842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26329842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36084672).

26329842 is an abundant number, since it is smaller than the sum of its proper divisors (45839502).

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

26329842 is a wasteful number, since it uses less digits than its factorization.

26329842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 26329842 is about 5131.2612484651. The cubic root of 26329842 is about 297.4971098747.

The spelling of 26329842 in words is "twenty-six million, three hundred twenty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 157 198 231 242 314 363 462 471 693 726 847 942 1089 1099 1331 1386 1413 1694 1727 2178 2198 2541 2662 2826 3297 3454 3993 5082 5181 6594 7623 7986 9317 9891 10362 11979 12089 15246 15543 18634 18997 19782 23958 24178 27951 31086 36267 37994 55902 56991 72534 83853 108801 113982 132979 167706 170973 208967 217602 265958 341946 398937 417934 626901 797874 1196811 1253802 1462769 1880703 2393622 2925538 3761406 4388307 8776614 13164921 26329842