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253983 = 3312731
BaseRepresentation
bin111110000000011111
3110220101210
4332000133
531111413
65235503
72105322
oct760037
9426353
10253983
11163904
12102b93
138b7b2
14687b9
15503c3
hex3e01f

253983 has 8 divisors (see below), whose sum is σ = 349696. Its totient is φ = 163800.

The previous prime is 253969. The next prime is 253987. The reversal of 253983 is 389352.

It is a happy number.

253983 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 253983 - 25 = 253951 is a prime.

It is a Duffinian number.

253983 is a lucky number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 253983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253987) 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, 1273 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (43712).

2253983 is an apocalyptic number.

253983 is a deficient number, since it is larger than the sum of its proper divisors (95713).

253983 is a wasteful number, since it uses less digits than its factorization.

253983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765.

The product of its digits is 6480, while the sum is 30.

The square root of 253983 is about 503.9672608414. The cubic root of 253983 is about 63.3288424024.

The spelling of 253983 in words is "two hundred fifty-three thousand, nine hundred eighty-three".

Divisors: 1 3 31 93 2731 8193 84661 253983