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4059825 = 3527111937
BaseRepresentation
bin1111011111001010110001
321122021000220
433133022301
52014403300
6223003253
746336140
oct17371261
97567026
104059825
112323230
121439529
13ac1b83
14779757
15552da0
hex3df2b1

4059825 has 96 divisors (see below), whose sum is σ = 9047040. Its totient is φ = 1555200.

The previous prime is 4059823. The next prime is 4059827. The reversal of 4059825 is 5289504.

4059825 = T31 + T32 + ... + T289.

4059825 is a nontrivial binomial coefficient, being equal to C(2850, 2).

It is an interprime number because it is at equal distance from previous prime (4059823) and next prime (4059827).

It is not a de Polignac number, because 4059825 - 21 = 4059823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

4059825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4059823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109707 + ... + 109743.

It is an arithmetic number, because the mean of its divisors is an integer number (94240).

Almost surely, 24059825 is an apocalyptic number.

4059825 is the 2849-th triangular number and also the 1425-th hexagonal number.

It is an amenable number.

4059825 is an abundant number, since it is smaller than the sum of its proper divisors (4987215).

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

4059825 is a wasteful number, since it uses less digits than its factorization.

4059825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 4059825 is about 2014.9007419722. The cubic root of 4059825 is about 159.5275778352.

It can be divided in two parts, 4059 and 825, that added together give a palindrome (4884).

The spelling of 4059825 in words is "four million, fifty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 37 55 57 75 77 95 105 111 133 165 175 185 209 231 259 275 285 385 399 407 475 525 555 627 665 703 777 825 925 1045 1155 1221 1295 1425 1463 1925 1995 2035 2109 2775 2849 3135 3325 3515 3885 4389 4921 5225 5775 6105 6475 7315 7733 8547 9975 10175 10545 14245 14763 15675 17575 19425 21945 23199 24605 30525 36575 38665 42735 52725 54131 71225 73815 109725 115995 123025 162393 193325 213675 270655 369075 579975 811965 1353275 4059825