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30153825 = 325213361
BaseRepresentation
bin111001100000…
…1110001100001
32002201222021100
41303001301201
530204410300
62554145013
7514206012
oct163016141
962658240
1030153825
1116026019
12a122169
13632a000
14400d009
1529a9700
hex1cc1c61

30153825 has 72 divisors (see below), whose sum is σ = 59466680. Its totient is φ = 14601600.

The previous prime is 30153811. The next prime is 30153833. The reversal of 30153825 is 52835103.

It can be written as a sum of positive squares in 12 ways, for example, as 28387584 + 1766241 = 5328^2 + 1329^2 .

It is not a de Polignac number, because 30153825 - 28 = 30153569 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 494295 + ... + 494355.

Almost surely, 230153825 is an apocalyptic number.

It is an amenable number.

30153825 is a deficient number, since it is larger than the sum of its proper divisors (29312855).

30153825 is a wasteful number, since it uses less digits than its factorization.

30153825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

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

The square root of 30153825 is about 5491.2498577282. The cubic root of 30153825 is about 311.2534232942.

Adding to 30153825 its reverse (52835103), we get a palindrome (82988928).

The spelling of 30153825 in words is "thirty million, one hundred fifty-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 61 65 75 117 169 183 195 225 305 325 507 549 585 793 845 915 975 1521 1525 2197 2379 2535 2745 2925 3965 4225 4575 6591 7137 7605 10309 10985 11895 12675 13725 19773 19825 30927 32955 35685 38025 51545 54925 59475 92781 98865 134017 154635 164775 178425 257725 402051 463905 494325 670085 773175 1206153 2010255 2319525 3350425 6030765 10051275 30153825