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402825 = 35241131
BaseRepresentation
bin1100010010110001001
3202110120110
41202112021
5100342300
612344533
73265263
oct1422611
9673513
10402825
11255715
12175149
13111477
14a6b33
157e550
hex62589

402825 has 24 divisors (see below), whose sum is σ = 687456. Its totient is φ = 208000.

The previous prime is 402823. The next prime is 402847. The reversal of 402825 is 528204.

402825 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 402825 - 21 = 402823 is a prime.

402825 is a lucky number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402825.

It is not an unprimeable number, because it can be changed into a prime (402823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010 + ... + 3140.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2402825 is an apocalyptic number.

It is an amenable number.

402825 is a deficient number, since it is larger than the sum of its proper divisors (284631).

402825 is a wasteful number, since it uses less digits than its factorization.

402825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 402825 is about 634.6849612209. The cubic root of 402825 is about 73.8536797051.

The spelling of 402825 in words is "four hundred two thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 131 205 393 615 655 1025 1965 3075 3275 5371 9825 16113 26855 80565 134275 402825