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4229505 = 325729463
BaseRepresentation
bin10000001000100110000001
321221212210100
4100020212001
52040321010
6230353013
750643630
oct20104601
97855710
104229505
112429765
1214bb769
13b51187
147c1517
155882c0
hex408981

4229505 has 48 divisors (see below), whose sum is σ = 8686080. Its totient is φ = 1862784.

The previous prime is 4229503. The next prime is 4229521. The reversal of 4229505 is 5059224.

It is not a de Polignac number, because 4229505 - 21 = 4229503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8904 + ... + 9366.

It is an arithmetic number, because the mean of its divisors is an integer number (180960).

Almost surely, 24229505 is an apocalyptic number.

4229505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4229505 is an abundant number, since it is smaller than the sum of its proper divisors (4456575).

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

4229505 is a wasteful number, since it uses less digits than its factorization.

4229505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4229505 is about 2056.5760379816. The cubic root of 4229505 is about 161.7197945392.

The spelling of 4229505 in words is "four million, two hundred twenty-nine thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 463 609 1015 1305 1389 1827 2315 3045 3241 4167 6945 9135 9723 13427 16205 20835 29169 40281 48615 67135 93989 120843 145845 201405 281967 469945 604215 845901 1409835 4229505