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3924135 = 325293197
BaseRepresentation
bin1110111110000010100111
321101100220100
432332002213
52001033020
6220035143
745232425
oct16760247
97340810
103924135
112240296
121392ab3
13a75197
14742115
15527a90
hex3be0a7

3924135 has 48 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 1935360.

The previous prime is 3924121. The next prime is 3924139. The reversal of 3924135 is 5314293.

It is not a de Polignac number, because 3924135 - 24 = 3924119 is a prime.

3924135 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3924099 and 3924108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40407 + ... + 40503.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 23924135 is an apocalyptic number.

3924135 is a deficient number, since it is larger than the sum of its proper divisors (3414105).

3924135 is a wasteful number, since it uses less digits than its factorization.

3924135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 3924135 is about 1980.9429572807. The cubic root of 3924135 is about 157.7301246723.

The spelling of 3924135 in words is "three million, nine hundred twenty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 29 31 45 87 93 97 145 155 261 279 291 435 465 485 873 899 1305 1395 1455 2697 2813 3007 4365 4495 8091 8439 9021 13485 14065 15035 25317 27063 40455 42195 45105 87203 126585 135315 261609 436015 784827 1308045 3924135