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4088084 = 22711131021
BaseRepresentation
bin1111100110000100010100
321200200210112
433212010110
52021304314
6223342152
746514420
oct17460424
97620715
104088084
112342490
121451958
13b019b0
14785b80
1555b43e
hex3e6114

4088084 has 48 divisors (see below), whose sum is σ = 9614976. Its totient is φ = 1468800.

The previous prime is 4088047. The next prime is 4088087. The reversal of 4088084 is 4808804.

4088084 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4088084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4088087) 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, 3494 + ... + 4514.

It is an arithmetic number, because the mean of its divisors is an integer number (200312).

Almost surely, 24088084 is an apocalyptic number.

4088084 is a gapful number since it is divisible by the number (44) 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 4088084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807488).

4088084 is an abundant number, since it is smaller than the sum of its proper divisors (5526892).

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

4088084 is a wasteful number, since it uses less digits than its factorization.

4088084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4088084 is about 2021.9010856123. The cubic root of 4088084 is about 159.8968606118.

The spelling of 4088084 in words is "four million, eighty-eight thousand, eighty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1021 2002 2042 4004 4084 7147 11231 13273 14294 22462 26546 28588 44924 53092 78617 92911 146003 157234 185822 292006 314468 371644 584012 1022021 2044042 4088084