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5142825 = 335219401
BaseRepresentation
bin10011100111100100101001
3100200021122000
4103213210221
52304032300
6302121213
761466442
oct23474451
910607560
105142825
1129a2976
121880209
1310b0abc
1497c2c9
156b8c00
hex4e7929

5142825 has 48 divisors (see below), whose sum is σ = 9969600. Its totient is φ = 2592000.

The previous prime is 5142817. The next prime is 5142829. The reversal of 5142825 is 5282415.

It is a happy number.

It is not a de Polignac number, because 5142825 - 23 = 5142817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

5142825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5142829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12625 + ... + 13025.

It is an arithmetic number, because the mean of its divisors is an integer number (207700).

Almost surely, 25142825 is an apocalyptic number.

It is an amenable number.

5142825 is a deficient number, since it is larger than the sum of its proper divisors (4826775).

5142825 is a wasteful number, since it uses less digits than its factorization.

5142825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 5142825 is about 2267.7797512104. The cubic root of 5142825 is about 172.6105151927.

The spelling of 5142825 in words is "five million, one hundred forty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 95 135 171 225 285 401 475 513 675 855 1203 1425 2005 2565 3609 4275 6015 7619 10025 10827 12825 18045 22857 30075 38095 54135 68571 90225 114285 190475 205713 270675 342855 571425 1028565 1714275 5142825