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4084002 = 2321331563
BaseRepresentation
bin1111100101000100100010
321200111012100
433211010202
52021142002
6223311230
746466466
oct17450442
97614170
104084002
11233a40a
12144b516
13accb90
147844a6
1555a11c
hex3e5122

4084002 has 48 divisors (see below), whose sum is σ = 9854208. Its totient is φ = 1213920.

The previous prime is 4084001. The next prime is 4084019. The reversal of 4084002 is 2004804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4084001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6973 + ... + 7535.

It is an arithmetic number, because the mean of its divisors is an integer number (205296).

Almost surely, 24084002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4084002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927104).

4084002 is an abundant number, since it is smaller than the sum of its proper divisors (5770206).

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

4084002 is a wasteful number, since it uses less digits than its factorization.

4084002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4084002 is about 2020.8913874823. The cubic root of 4084002 is about 159.8436232559.

Adding to 4084002 its reverse (2004804), we get a palindrome (6088806).

The spelling of 4084002 in words is "four million, eighty-four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 563 806 1126 1209 1689 2418 3378 3627 5067 7254 7319 10134 14638 17453 21957 34906 43914 52359 65871 104718 131742 157077 226889 314154 453778 680667 1361334 2042001 4084002