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4144 = 24737
BaseRepresentation
bin1000000110000
312200111
41000300
5113034
631104
715040
oct10060
95614
104144
113128
122494
131b6a
141720
151364
hex1030

4144 has 20 divisors (see below), whose sum is σ = 9424. Its totient is φ = 1728.

The previous prime is 4139. The next prime is 4153. The reversal of 4144 is 4414.

Adding to 4144 its reverse (4414), we get a palindrome (8558).

It can be divided in two parts, 4 and 144, that multiplied together give a square (576 = 242).

4144 = T17 + T18 + ... + T30.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 130.

24144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712).

4144 is an abundant number, since it is smaller than the sum of its proper divisors (5280).

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

4144 is a wasteful number, since it uses less digits than its factorization.

4144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its digits is 64, while the sum is 13.

The square root of 4144 is about 64.3739077577. The cubic root of 4144 is about 16.0622574365.

The spelling of 4144 in words is "four thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144