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4115268 = 2232791447
BaseRepresentation
bin1111101100101101000100
321202002002100
433230231010
52023142033
6224112100
746656603
oct17545504
97662070
104115268
112360953
121465630
13b11191
14791a3a
15564513
hex3ecb44

4115268 has 36 divisors (see below), whose sum is σ = 10541440. Its totient is φ = 1353456.

The previous prime is 4115263. The next prime is 4115269. The reversal of 4115268 is 8625114.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (4115263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2121 + ... + 3567.

Almost surely, 24115268 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 4115268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270720).

4115268 is an abundant number, since it is smaller than the sum of its proper divisors (6426172).

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

4115268 is a wasteful number, since it uses less digits than its factorization.

4115268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1531 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 4115268 is about 2028.6123335916. The cubic root of 4115268 is about 160.2504930447.

The spelling of 4115268 in words is "four million, one hundred fifteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 1447 2844 2894 4341 5788 8682 13023 17364 26046 52092 114313 228626 342939 457252 685878 1028817 1371756 2057634 4115268