Search a number
-
+
26326272 = 28375983
BaseRepresentation
bin110010001101…
…1010100000000
31211112111212010
41210123110000
523214420042
62340132520
7436524660
oct144332400
954474763
1026326272
1113951355
128997140
1355b9a9b
1436d41a0
1524a059c
hex191b500

26326272 has 144 divisors (see below), whose sum is σ = 82414080. Its totient is φ = 7305216.

The previous prime is 26326253. The next prime is 26326273. The reversal of 26326272 is 27262362.

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

Its product of digits (12096) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26326273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317143 + ... + 317225.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 226326272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

26326272 is an abundant number, since it is smaller than the sum of its proper divisors (56087808).

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

26326272 is an equidigital number, since it uses as much as digits as its factorization.

26326272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 26326272 is about 5130.9133689822. The cubic root of 26326272 is about 297.4836636276.

The spelling of 26326272 in words is "twenty-six million, three hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 83 84 96 112 118 128 166 168 177 192 224 236 249 256 332 336 354 384 413 448 472 498 581 664 672 708 768 826 896 944 996 1162 1239 1328 1344 1416 1652 1743 1792 1888 1992 2324 2478 2656 2688 2832 3304 3486 3776 3984 4648 4897 4956 5312 5376 5664 6608 6972 7552 7968 9296 9794 9912 10624 11328 13216 13944 14691 15104 15936 18592 19588 19824 21248 22656 26432 27888 29382 31872 34279 37184 39176 39648 45312 52864 55776 58764 63744 68558 74368 78352 79296 102837 105728 111552 117528 137116 148736 156704 158592 205674 223104 235056 274232 313408 317184 411348 446208 470112 548464 626816 822696 940224 1096928 1253632 1645392 1880448 2193856 3290784 3760896 4387712 6581568 8775424 13163136 26326272