Search a number
-
+
26144196 = 22313295779
BaseRepresentation
bin110001110111…
…0110111000100
31211012021002120
41203232313010
523143103241
62332205540
7435136101
oct143566704
954167076
1026144196
1113837581
1289098b0
135554c50
143687aa8
152466666
hex18eedc4

26144196 has 48 divisors (see below), whose sum is σ = 67972800. Its totient is φ = 7765632.

The previous prime is 26144189. The next prime is 26144201. The reversal of 26144196 is 69144162.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635 + ... + 7413.

It is an arithmetic number, because the mean of its divisors is an integer number (1416100).

Almost surely, 226144196 is an apocalyptic number.

26144196 is a gapful number since it is divisible by the number (26) 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 26144196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33986400).

26144196 is an abundant number, since it is smaller than the sum of its proper divisors (41828604).

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

26144196 is a wasteful number, since it uses less digits than its factorization.

26144196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5826 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 26144196 is about 5113.1395443504. The cubic root of 26144196 is about 296.7962642686.

The spelling of 26144196 in words is "twenty-six million, one hundred forty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 5779 11558 17337 23116 34674 69348 75127 150254 167591 225381 300508 335182 450762 502773 670364 901524 1005546 2011092 2178683 4357366 6536049 8714732 13072098 26144196