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4068225 = 34527241
BaseRepresentation
bin1111100001001110000001
321122200120000
433201032001
52020140400
6223110213
746402500
oct17411601
97580500
104068225
112329577
121442369
13ac5945
1477c837
15555600
hex3e1381

4068225 has 90 divisors (see below), whose sum is σ = 8979894. Its totient is φ = 1814400.

The previous prime is 4068221. The next prime is 4068241. The reversal of 4068225 is 5228604.

It can be written as a sum of positive squares in 3 ways, for example, as 3969 + 4064256 = 63^2 + 2016^2 .

It is not a de Polignac number, because 4068225 - 22 = 4068221 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068221) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 99205 + ... + 99245.

Almost surely, 24068225 is an apocalyptic number.

4068225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4068225 is an abundant number, since it is smaller than the sum of its proper divisors (4911669).

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

4068225 is a wasteful number, since it uses less digits than its factorization.

4068225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4068225 is about 2016.9841347913. The cubic root of 4068225 is about 159.6375258021.

It can be divided in two parts, 40 and 68225, that added together give a triangular number (68265 = T369).

The spelling of 4068225 in words is "four million, sixty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 41 45 49 63 75 81 105 123 135 147 175 189 205 225 245 287 315 369 405 441 525 567 615 675 735 861 945 1025 1107 1225 1323 1435 1575 1845 2009 2025 2205 2583 2835 3075 3321 3675 3969 4305 4725 5535 6027 6615 7175 7749 9225 10045 11025 12915 14175 16605 18081 19845 21525 23247 27675 30135 33075 38745 50225 54243 64575 83025 90405 99225 116235 150675 162729 193725 271215 452025 581175 813645 1356075 4068225