Search a number
-
+
12849792 = 273109307
BaseRepresentation
bin110001000001…
…001010000000
3220011211121020
4301001022000
511242143132
61135225440
7214135644
oct61011200
926154536
1012849792
11728726a
124378280
13287ba37
1419c6c24
1511dc52c
hexc41280

12849792 has 64 divisors (see below), whose sum is σ = 34557600. Its totient is φ = 4230144.

The previous prime is 12849791. The next prime is 12849799. The reversal of 12849792 is 29794821.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12849791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41703 + ... + 42009.

Almost surely, 212849792 is an apocalyptic number.

12849792 is a gapful number since it is divisible by the number (12) 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 12849792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278800).

12849792 is an abundant number, since it is smaller than the sum of its proper divisors (21707808).

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

12849792 is a wasteful number, since it uses less digits than its factorization.

12849792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 12849792 is about 3584.6606533952. The cubic root of 12849792 is about 234.2243447090.

The spelling of 12849792 in words is "twelve million, eight hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 307 327 384 436 614 654 872 921 1228 1308 1744 1842 2456 2616 3488 3684 4912 5232 6976 7368 9824 10464 13952 14736 19648 20928 29472 33463 39296 41856 58944 66926 100389 117888 133852 200778 267704 401556 535408 803112 1070816 1606224 2141632 3212448 4283264 6424896 12849792