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4045116 = 2231779251
BaseRepresentation
bin1111011011100100111100
321121111212010
433123210330
52013420431
6222411220
746245225
oct17334474
97544763
104045116
112313179
121430b10
13ab827a
1477424c
1554d846
hex3db93c

4045116 has 48 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1248000.

The previous prime is 4045103. The next prime is 4045117. The reversal of 4045116 is 6115404.

4045116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4045092 and 4045101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15991 + ... + 16241.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 24045116 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 4045116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

4045116 is an abundant number, since it is smaller than the sum of its proper divisors (6115524).

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

4045116 is a wasteful number, since it uses less digits than its factorization.

4045116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4045116 is about 2011.2473741437. The cubic root of 4045116 is about 159.3346852279.

The spelling of 4045116 in words is "four million, forty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 251 316 474 502 753 948 1004 1343 1506 2686 3012 4029 4267 5372 8058 8534 12801 16116 17068 19829 25602 39658 51204 59487 79316 118974 237948 337093 674186 1011279 1348372 2022558 4045116