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252903 = 3712043
BaseRepresentation
bin111101101111100111
3110211220210
4331233213
531043103
65230503
72102220
oct755747
9424823
10252903
11163012
12102433
138b161
1468247
154ee03
hex3dbe7

252903 has 8 divisors (see below), whose sum is σ = 385408. Its totient is φ = 144504.

The previous prime is 252899. The next prime is 252911. The reversal of 252903 is 309252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 252903 - 22 = 252899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 12043 = 252903 / (2 + 5 + 2 + 9 + 0 + 3).

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252903.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252903.

It is not an unprimeable number, because it can be changed into a prime (252913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6001 + ... + 6042.

It is an arithmetic number, because the mean of its divisors is an integer number (48176).

2252903 is an apocalyptic number.

252903 is a deficient number, since it is larger than the sum of its proper divisors (132505).

252903 is a wasteful number, since it uses less digits than its factorization.

252903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12053.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 252903 is about 502.8946211683. The cubic root of 252903 is about 63.2389514465.

The spelling of 252903 in words is "two hundred fifty-two thousand, nine hundred three".

Divisors: 1 3 7 21 12043 36129 84301 252903