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4084000 = 25531021
BaseRepresentation
bin1111100101000100100000
321200111012021
433211010200
52021142000
6223311224
746466464
oct17450440
97614167
104084000
11233a408
12144b514
13accb8b
147844a4
1555a11a
hex3e5120

4084000 has 48 divisors (see below), whose sum is σ = 10044216. Its totient is φ = 1632000.

The previous prime is 4083997. The next prime is 4084001. The reversal of 4084000 is 4804.

4084000 is nontrivially palindromic in base 7 and base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 2729104 = 1164^2 + 1652^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 3490 + ... + 4510.

Almost surely, 24084000 is an apocalyptic number.

4084000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022108).

4084000 is an abundant number, since it is smaller than the sum of its proper divisors (5960216).

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

4084000 is a wasteful number, since it uses less digits than its factorization.

4084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4084000 is about 2020.8908926511. The cubic root of 4084000 is about 159.8435971633.

Adding to 4084000 its reverse (4804), we get a palindrome (4088804).

The spelling of 4084000 in words is "four million, eighty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1021 2000 2042 4000 4084 5105 8168 10210 16336 20420 25525 32672 40840 51050 81680 102100 127625 163360 204200 255250 408400 510500 816800 1021000 2042000 4084000