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26561412 = 22331722337
BaseRepresentation
bin110010101010…
…0101110000100
31211222110102000
41211110232010
523244431122
62345145300
7441524343
oct145245604
954873360
1026561412
1113aa1a89
128a8b230
13566cb17
143755b5a
1524ea0ac
hex1954b84

26561412 has 144 divisors (see below), whose sum is σ = 78395520. Its totient is φ = 7755264.

The previous prime is 26561407. The next prime is 26561453. The reversal of 26561412 is 21416562.

26561412 is a `hidden beast` number, since 2 + 656 + 1 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717858 + ... + 717894.

Almost surely, 226561412 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 26561412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39197760).

26561412 is an abundant number, since it is smaller than the sum of its proper divisors (51834108).

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

26561412 is a wasteful number, since it uses less digits than its factorization.

26561412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 26561412 is about 5153.7764794372. The cubic root of 26561412 is about 298.3667241703.

Adding to 26561412 its reverse (21416562), we get a palindrome (47977974).

The spelling of 26561412 in words is "twenty-six million, five hundred sixty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 37 46 51 54 68 69 74 92 102 108 111 138 148 153 204 207 222 276 289 306 333 391 414 444 459 578 612 621 629 666 782 828 851 867 918 999 1156 1173 1242 1258 1332 1564 1702 1734 1836 1887 1998 2346 2484 2516 2553 2601 3404 3468 3519 3774 3996 4692 5106 5202 5661 6647 7038 7548 7659 7803 10212 10404 10557 10693 11322 13294 14076 14467 15318 15606 16983 19941 21114 21386 22644 22977 26588 28934 30636 31212 32079 33966 39882 42228 42772 43401 45954 57868 59823 64158 67932 79764 86802 91908 96237 119646 128316 130203 173604 179469 192474 239292 245939 260406 288711 358938 384948 390609 491878 520812 577422 717876 737817 781218 983756 1154844 1475634 1562436 2213451 2951268 4426902 6640353 8853804 13280706 26561412