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4263 = 37229
BaseRepresentation
bin1000010100111
312211220
41002213
5114023
631423
715300
oct10247
95756
104263
113226
122573
131c2c
1417a7
1513e3
hex10a7

4263 has 12 divisors (see below), whose sum is σ = 6840. Its totient is φ = 2352.

The previous prime is 4261. The next prime is 4271. The reversal of 4263 is 3624.

Adding to 4263 its sum of digits (15), we get a triangular number (4278 = T92).

Adding to 4263 its reverse (3624), we get a palindrome (7887).

It can be divided in two parts, 42 and 63, that added together give a triangular number (105 = T14).

It is not a de Polignac number, because 4263 - 21 = 4261 is a prime.

It is a d-powerful number, because it can be written as 46 + 62 + 27 + 3 .

4263 is a modest number, since divided by 63 gives 42 as remainder.

4263 is a lucky number.

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 4263.

It is not an unprimeable number, because it can be changed into a prime (4261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (570).

24263 is an apocalyptic number.

4263 is a deficient number, since it is larger than the sum of its proper divisors (2577).

4263 is a wasteful number, since it uses less digits than its factorization.

4263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 39 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 4263 is about 65.2916533716. The cubic root of 4263 is about 16.2145578634.

The spelling of 4263 in words is "four thousand, two hundred sixty-three".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 4263