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4282092 = 2233311279
BaseRepresentation
bin10000010101011011101100
322001112221000
4100111123230
52044011332
6231440300
751253143
oct20253354
98045830
104282092
112465221
121526090
13b6c0a9
147d675a
15598b7c
hex4156ec

4282092 has 48 divisors (see below), whose sum is σ = 11468800. Its totient is φ = 1380240.

The previous prime is 4282063. The next prime is 4282093. The reversal of 4282092 is 2902824.

4282092 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4282093) 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 15 ways as a sum of consecutive naturals, for example, 2709 + ... + 3987.

Almost surely, 24282092 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 4282092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734400).

4282092 is an abundant number, since it is smaller than the sum of its proper divisors (7186708).

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

4282092 is a wasteful number, since it uses less digits than its factorization.

4282092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4282092 is about 2069.3216279738. The cubic root of 4282092 is about 162.3872764587.

The spelling of 4282092 in words is "four million, two hundred eighty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1279 1674 2558 3348 3837 5116 7674 11511 15348 23022 34533 39649 46044 69066 79298 118947 138132 158596 237894 356841 475788 713682 1070523 1427364 2141046 4282092