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4236 = 223353
BaseRepresentation
bin1000010001100
312210220
41002030
5113421
631340
715231
oct10214
95726
104236
113201
122550
131c0b
141788
1513c6
hex108c

4236 has 12 divisors (see below), whose sum is σ = 9912. Its totient is φ = 1408.

The previous prime is 4231. The next prime is 4241. The reversal of 4236 is 6324.

It can be divided in two parts, 42 and 36, that added together give a triangular number (78 = T12).

It is an interprime number because it is at equal distance from previous prime (4231) and next prime (4241).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4236.

It is not an unprimeable number, because it can be changed into a prime (4231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (826).

It is an amenable number.

4236 is an abundant number, since it is smaller than the sum of its proper divisors (5676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956).

4236 is a wasteful number, since it uses less digits than its factorization.

4236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 358 counting only the distinct ones).

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

The square root of 4236 is about 65.0845603811. The cubic root of 4236 is about 16.1802533367.

The spelling of 4236 in words is "four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 353 706 1059 1412 2118 4236