Search a number
-
+
26168688 = 24327131997
BaseRepresentation
bin110001111010…
…0110101110000
31211020111200200
41203310311300
523144344223
62332515200
7435300360
oct143646560
954214620
1026168688
1113853a17
12891bb00
135563140
1436929a0
15246da43
hex18f4d70

26168688 has 120 divisors (see below), whose sum is σ = 90181728. Its totient is φ = 6898176.

The previous prime is 26168651. The next prime is 26168689. The reversal of 26168688 is 88686162.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26168689) 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, 12106 + ... + 14102.

Almost surely, 226168688 is an apocalyptic number.

26168688 is a gapful number since it is divisible by the number (28) 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 26168688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45090864).

26168688 is an abundant number, since it is smaller than the sum of its proper divisors (64013040).

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

26168688 is a wasteful number, since it uses less digits than its factorization.

26168688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2022 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 26168688 is about 5115.5339897219. The cubic root of 26168688 is about 296.8889153662. Note that the first 3 decimals are identical.

The spelling of 26168688 in words is "twenty-six million, one hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 1997 2184 3276 3994 4368 5991 6552 7988 11982 13104 13979 15976 17973 23964 25961 27958 31952 35946 41937 47928 51922 55916 71892 77883 83874 95856 103844 111832 125811 143784 155766 167748 181727 207688 223664 233649 251622 287568 311532 335496 363454 415376 467298 503244 545181 623064 670992 726908 934596 1006488 1090362 1246128 1453816 1635543 1869192 2012976 2180724 2907632 3271086 3738384 4361448 6542172 8722896 13084344 26168688