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3629925 = 3252131773
BaseRepresentation
bin1101110110001101100101
320211102022200
431312031211
51412124200
6205445113
742565605
oct15661545
96742280
103629925
11205a242
121270799
139a12b0
146a6c05
154ba800
hex376365

3629925 has 72 divisors (see below), whose sum is σ = 7515144. Its totient is φ = 1658880.

The previous prime is 3629921. The next prime is 3629933. The reversal of 3629925 is 5299263.

3629925 is a `hidden beast` number, since 3 + 629 + 9 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 986049 + 2643876 = 993^2 + 1626^2 .

It is not a de Polignac number, because 3629925 - 22 = 3629921 is a prime.

It is a Curzon number.

3629925 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3629925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629921) 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 71 ways as a sum of consecutive naturals, for example, 49689 + ... + 49761.

It is an arithmetic number, because the mean of its divisors is an integer number (104377).

Almost surely, 23629925 is an apocalyptic number.

It is an amenable number.

3629925 is an abundant number, since it is smaller than the sum of its proper divisors (3885219).

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

3629925 is a wasteful number, since it uses less digits than its factorization.

3629925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 3629925 is about 1905.2362058286. The cubic root of 3629925 is about 153.6853783557.

It can be divided in two parts, 3629 and 925, that added together give a palindrome (4554).

The spelling of 3629925 in words is "three million, six hundred twenty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 73 75 85 117 153 195 219 221 225 255 325 365 425 585 657 663 765 949 975 1095 1105 1241 1275 1825 1989 2847 2925 3285 3315 3723 3825 4745 5475 5525 6205 8541 9945 11169 14235 16133 16425 16575 18615 23725 31025 42705 48399 49725 55845 71175 80665 93075 145197 213525 241995 279225 403325 725985 1209975 3629925