Search a number
-
+
26793072 = 2433109569
BaseRepresentation
bin110011000110…
…1010001110000
31212102020012000
41212031101300
523324334242
62354134000
7443510625
oct146152160
955366160
1026793072
1114140039
128b81300
1357213b7
1437b634c
152543a4c
hex198d470

26793072 has 80 divisors (see below), whose sum is σ = 77748000. Its totient is φ = 8833536.

The previous prime is 26793061. The next prime is 26793073. The reversal of 26793072 is 27039762.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26793073) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46804 + ... + 47372.

It is an arithmetic number, because the mean of its divisors is an integer number (971850).

Almost surely, 226793072 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 26793072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38874000).

26793072 is an abundant number, since it is smaller than the sum of its proper divisors (50954928).

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

26793072 is a wasteful number, since it uses less digits than its factorization.

26793072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 26793072 is about 5176.2024689921. The cubic root of 26793072 is about 299.2316337243.

It can be divided in two parts, 267 and 93072, that added together give a palindrome (93339).

The spelling of 26793072 in words is "twenty-six million, seven hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 569 654 872 981 1138 1308 1707 1744 1962 2276 2616 2943 3414 3924 4552 5121 5232 5886 6828 7848 9104 10242 11772 13656 15363 15696 20484 23544 27312 30726 40968 47088 61452 62021 81936 122904 124042 186063 245808 248084 372126 496168 558189 744252 992336 1116378 1488504 1674567 2232756 2977008 3349134 4465512 6698268 8931024 13396536 26793072