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4053405 = 352331379
BaseRepresentation
bin1111011101100110011101
321121221020010
433131212131
52014202110
6222513433
746311336
oct17354635
97557203
104053405
112319424
121435879
13abbc85
1477728d
15551020
hex3dd99d

4053405 has 32 divisors (see below), whose sum is σ = 7004160. Its totient is φ = 1995840.

The previous prime is 4053397. The next prime is 4053407. The reversal of 4053405 is 5043504.

4053405 = T254 + T255 + ... + T343.

It is a happy number.

It is not a de Polignac number, because 4053405 - 23 = 4053397 is a prime.

It is a super-3 number, since 3×40534053 (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 410 + 0 + 55 + 3 + 410 + 0 + 59 .

4053405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506 + ... + 10884.

It is an arithmetic number, because the mean of its divisors is an integer number (218880).

Almost surely, 24053405 is an apocalyptic number.

It is an amenable number.

4053405 is a deficient number, since it is larger than the sum of its proper divisors (2950755).

4053405 is a wasteful number, since it uses less digits than its factorization.

4053405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 4053405 is about 2013.3069810637. The cubic root of 4053405 is about 159.4434438820.

Adding to 4053405 its reverse (5043504), we get a palindrome (9096909).

Subtracting 4053405 from its reverse (5043504), we obtain a palindrome (990099).

The spelling of 4053405 in words is "four million, fifty-three thousand, four hundred five".

Divisors: 1 3 5 15 23 31 69 93 115 155 345 379 465 713 1137 1895 2139 3565 5685 8717 10695 11749 26151 35247 43585 58745 130755 176235 270227 810681 1351135 4053405