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15249025 = 52112712
BaseRepresentation
bin111010001010…
…111010000001
31001200201201201
4322022322001
512400432100
61302501201
7243420541
oct72127201
931621651
1015249025
118675900
125134801
13320babc
14204d321
15151336a
hexe8ae81

15249025 has 27 divisors (see below), whose sum is σ = 21080899. Its totient is φ = 10934000.

The previous prime is 15249019. The next prime is 15249029. The reversal of 15249025 is 52094251.

The square root of 15249025 is 3905.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5489649 + 9759376 = 2343^2 + 3124^2 .

It is not a de Polignac number, because 15249025 - 213 = 15240833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15248984 and 15249002.

It is not an unprimeable number, because it can be changed into a prime (15249029) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 214740 + ... + 214810.

Almost surely, 215249025 is an apocalyptic number.

15249025 is the 3905-th square number.

15249025 is the 1953-rd centered octagonal number.

It is an amenable number.

15249025 is a deficient number, since it is larger than the sum of its proper divisors (5831874).

15249025 is an equidigital number, since it uses as much as digits as its factorization.

15249025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 15249025 is about 247.9784981792.

Multiplying 15249025 by its product of nonzero digits (3600), we get a square (54896490000 = 2343002).

The spelling of 15249025 in words is "fifteen million, two hundred forty-nine thousand, twenty-five".

Divisors: 1 5 11 25 55 71 121 275 355 605 781 1775 3025 3905 5041 8591 19525 25205 42955 55451 126025 214775 277255 609961 1386275 3049805 15249025