Search a number
-
+
12769848 = 23327131949
BaseRepresentation
bin110000101101…
…101000111000
3220000202221100
4300231220320
511232113343
61133411400
7213353610
oct60555070
926022840
1012769848
1172321a3
124339b60
132851530
1419a5a40
1511c39d3
hexc2da38

12769848 has 96 divisors (see below), whose sum is σ = 42588000. Its totient is φ = 3366144.

The previous prime is 12769829. The next prime is 12769849. The reversal of 12769848 is 84896721.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12769849) 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 23 ways as a sum of consecutive naturals, for example, 5578 + ... + 7526.

It is an arithmetic number, because the mean of its divisors is an integer number (443625).

Almost surely, 212769848 is an apocalyptic number.

12769848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12769848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294000).

12769848 is an abundant number, since it is smaller than the sum of its proper divisors (29818152).

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

12769848 is a wasteful number, since it uses less digits than its factorization.

12769848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 12769848 is about 3573.4924093945. The cubic root of 12769848 is about 233.7375975957.

The spelling of 12769848 in words is "twelve million, seven hundred sixty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 1949 2184 3276 3898 5847 6552 7796 11694 13643 15592 17541 23388 25337 27286 35082 40929 46776 50674 54572 70164 76011 81858 101348 109144 122787 140328 152022 163716 177359 202696 228033 245574 304044 327432 354718 456066 491148 532077 608088 709436 912132 982296 1064154 1418872 1596231 1824264 2128308 3192462 4256616 6384924 12769848