Search a number
-
+
4112616 = 233349491
BaseRepresentation
bin1111101100000011101000
321201221110010
433230003220
52023100431
6224051520
746646064
oct17540350
97657403
104112616
112359962
121463ba0
13b0cc01
14790aa4
15563846
hex3ec0e8

4112616 has 32 divisors (see below), whose sum is σ = 10332000. Its totient is φ = 1364160.

The previous prime is 4112609. The next prime is 4112621. The reversal of 4112616 is 6162114.

4112616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41126162 = 33827220726912, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4112592 and 4112601.

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 7 ways as a sum of consecutive naturals, for example, 8131 + ... + 8621.

It is an arithmetic number, because the mean of its divisors is an integer number (322875).

Almost surely, 24112616 is an apocalyptic number.

It is an amenable number.

4112616 is an abundant number, since it is smaller than the sum of its proper divisors (6219384).

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

4112616 is a wasteful number, since it uses less digits than its factorization.

4112616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 4112616 is about 2027.9585794587. The cubic root of 4112616 is about 160.2160622672.

The spelling of 4112616 in words is "four million, one hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 349 491 698 982 1047 1396 1473 1964 2094 2792 2946 3928 4188 5892 8376 11784 171359 342718 514077 685436 1028154 1370872 2056308 4112616