Search a number
-
+
26193096 = 23321941467
BaseRepresentation
bin110001111101…
…0110011001000
31211021202011200
41203322303020
523201134341
62333224200
7435431466
oct143726310
954252150
1026193096
1113870296
128932060
135571297
14369b836
152475db6
hex18facc8

26193096 has 96 divisors (see below), whose sum is σ = 76658400. Its totient is φ = 8052480.

The previous prime is 26193091. The next prime is 26193103. The reversal of 26193096 is 69039162.

26193096 is a `hidden beast` number, since 2 + 619 + 30 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26193096.

It is not an unprimeable number, because it can be changed into a prime (26193091) 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, 55855 + ... + 56321.

It is an arithmetic number, because the mean of its divisors is an integer number (798525).

Almost surely, 226193096 is an apocalyptic number.

26193096 is the 2736-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26193096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329200).

26193096 is an abundant number, since it is smaller than the sum of its proper divisors (50465304).

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

26193096 is a wasteful number, since it uses less digits than its factorization.

26193096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 26193096 is about 5117.9191083877. The cubic root of 26193096 is about 296.9811912042.

The spelling of 26193096 in words is "twenty-six million, one hundred ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 41 57 72 76 82 114 123 152 164 171 228 246 328 342 369 456 467 492 684 738 779 934 984 1368 1401 1476 1558 1868 2337 2802 2952 3116 3736 4203 4674 5604 6232 7011 8406 8873 9348 11208 14022 16812 17746 18696 19147 26619 28044 33624 35492 38294 53238 56088 57441 70984 76588 79857 106476 114882 153176 159714 172323 212952 229764 319428 344646 363793 459528 638856 689292 727586 1091379 1378584 1455172 2182758 2910344 3274137 4365516 6548274 8731032 13096548 26193096