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4098512 = 241122973
BaseRepresentation
bin1111101000100111010000
321201020002202
433220213100
52022123022
6223502332
746560005
oct17504720
97636082
104098512
11234a300
1214579a8
13b06672
147898ac
1555e592
hex3e89d0

4098512 has 60 divisors (see below), whose sum is σ = 9153060. Its totient is φ = 1774080.

The previous prime is 4098511. The next prime is 4098533. The reversal of 4098512 is 2158904.

4098512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 1860496 = 1496^2 + 1364^2 .

It is a super-2 number, since 2×40985122 = 33595601228288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098511) 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 11 ways as a sum of consecutive naturals, for example, 56108 + ... + 56180.

It is an arithmetic number, because the mean of its divisors is an integer number (152551).

Almost surely, 24098512 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 4098512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576530).

4098512 is an abundant number, since it is smaller than the sum of its proper divisors (5054548).

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

4098512 is a wasteful number, since it uses less digits than its factorization.

4098512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 4098512 is about 2024.4782043776. The cubic root of 4098512 is about 160.0327016491.

It can be divided in two parts, 4098 and 512, that multiplied together give a triangular number (2098176 = T2048).

The spelling of 4098512 in words is "four million, ninety-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 58 73 88 116 121 146 176 232 242 292 319 464 484 584 638 803 968 1168 1276 1606 1936 2117 2552 3212 3509 4234 5104 6424 7018 8468 8833 12848 14036 16936 17666 23287 28072 33872 35332 46574 56144 70664 93148 141328 186296 256157 372592 512314 1024628 2049256 4098512