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3133525 = 521773101
BaseRepresentation
bin1011111101000001010101
312220012101111
423331001111
51300233100
6151055021
735430433
oct13750125
95805344
103133525
11185029a
121071471
13859375
145b7d53
1541d6ba
hex2fd055

3133525 has 24 divisors (see below), whose sum is σ = 4211784. Its totient is φ = 2304000.

The previous prime is 3133513. The next prime is 3133531. The reversal of 3133525 is 5253313.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11236 + 3122289 = 106^2 + 1767^2 .

It is not a de Polignac number, because 3133525 - 27 = 3133397 is a prime.

3133525 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3133496 and 3133505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30975 + ... + 31075.

It is an arithmetic number, because the mean of its divisors is an integer number (175491).

Almost surely, 23133525 is an apocalyptic number.

It is an amenable number.

3133525 is a deficient number, since it is larger than the sum of its proper divisors (1078259).

3133525 is a wasteful number, since it uses less digits than its factorization.

3133525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its digits is 1350, while the sum is 22.

The square root of 3133525 is about 1770.1765448678. The cubic root of 3133525 is about 146.3337115417. Note that the first 3 decimals are identical.

Adding to 3133525 its reverse (5253313), we get a palindrome (8386838).

The spelling of 3133525 in words is "three million, one hundred thirty-three thousand, five hundred twenty-five".

Divisors: 1 5 17 25 73 85 101 365 425 505 1241 1717 1825 2525 6205 7373 8585 31025 36865 42925 125341 184325 626705 3133525