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4179 = 37199
BaseRepresentation
bin1000001010011
312201210
41001103
5113204
631203
715120
oct10123
95653
104179
11315a
122503
131b96
141747
151389
hex1053

4179 has 8 divisors (see below), whose sum is σ = 6400. Its totient is φ = 2376.

The previous prime is 4177. The next prime is 4201. The reversal of 4179 is 9714.

It can be divided in two parts, 41 and 79, that added together give a triangular number (120 = T15).

4179 = T31 + T32 + ... + T37.

4179 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 4179 - 21 = 4177 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: 199 = 4179 / (4 + 1 + 7 + 9).

It is a Duffinian number.

4179 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 120.

It is an arithmetic number, because the mean of its divisors is an integer number (800).

4179 is a deficient number, since it is larger than the sum of its proper divisors (2221).

4179 is a wasteful number, since it uses less digits than its factorization.

4179 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its digits is 252, while the sum is 21.

The square root of 4179 is about 64.6451854356. The cubic root of 4179 is about 16.1073510404.

The spelling of 4179 in words is "four thousand, one hundred seventy-nine".

Divisors: 1 3 7 21 199 597 1393 4179