[go: up one dir, main page]

Search a number
-
+
26243616 = 25373797
BaseRepresentation
bin110010000011…
…1001000100000
31211101022110210
41210013020200
523204243431
62334254120
7436032000
oct144071040
954338423
1026243616
11138a5243
128957340
13558b289
1436b2000
152485d46
hex1907220

26243616 has 96 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 7488768.

The previous prime is 26243611. The next prime is 26243671. The reversal of 26243616 is 61634262.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (26243611) 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, 32530 + ... + 33326.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 226243616 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 26243616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

26243616 is an abundant number, since it is smaller than the sum of its proper divisors (54194784).

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

26243616 is an equidigital number, since it uses as much as digits as its factorization.

26243616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 809 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 26243616 is about 5122.8523304893. The cubic root of 26243616 is about 297.1720029878.

Adding to 26243616 its reverse (61634262), we get a palindrome (87877878).

The spelling of 26243616 in words is "twenty-six million, two hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 797 1029 1176 1372 1568 1594 2058 2352 2391 2744 3188 4116 4704 4782 5488 5579 6376 8232 9564 10976 11158 12752 16464 16737 19128 22316 25504 32928 33474 38256 39053 44632 66948 76512 78106 89264 117159 133896 156212 178528 234318 267792 273371 312424 468636 535584 546742 624848 820113 937272 1093484 1249696 1640226 1874544 2186968 3280452 3749088 4373936 6560904 8747872 13121808 26243616