Search a number
-
+
26661978 = 23272193743
BaseRepresentation
bin110010110110…
…1010001011010
31212011120100200
41211231101122
523311140403
62351243030
7442423500
oct145552132
955146320
1026661978
11140605a2
128b19476
1356a6825
143780670
152519ca3
hex196d45a

26661978 has 144 divisors (see below), whose sum is σ = 74337120. Its totient is φ = 6858432.

The previous prime is 26661949. The next prime is 26661979. The reversal of 26661978 is 87916662.

It is a super-2 number, since 2×266619782 = 1421722141744968, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (26661979) 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 71 ways as a sum of consecutive naturals, for example, 620025 + ... + 620067.

It is an arithmetic number, because the mean of its divisors is an integer number (516230).

Almost surely, 226661978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26661978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37168560).

26661978 is an abundant number, since it is smaller than the sum of its proper divisors (47675142).

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

26661978 is a wasteful number, since it uses less digits than its factorization.

26661978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 26661978 is about 5163.5237967884. The cubic root of 26661978 is about 298.7428055666.

The spelling of 26661978 in words is "twenty-six million, six hundred sixty-one thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 43 49 57 63 74 86 98 111 114 126 129 133 147 171 222 258 259 266 294 301 333 342 387 399 441 518 602 666 703 774 777 798 817 882 903 931 1197 1406 1554 1591 1634 1806 1813 1862 2107 2109 2331 2394 2451 2709 2793 3182 3626 4214 4218 4662 4773 4902 4921 5418 5439 5586 5719 6321 6327 7353 8379 9546 9842 10878 11137 11438 12642 12654 14319 14706 14763 16317 16758 17157 18963 22274 28638 29526 30229 32634 33411 34314 34447 37926 40033 44289 51471 60458 66822 68894 77959 80066 88578 90687 100233 102942 103341 120099 155918 181374 200466 206682 211603 233877 240198 272061 310023 360297 423206 467754 544122 620046 634809 701631 720594 1269618 1403262 1481221 1904427 2962442 3808854 4443663 8887326 13330989 26661978