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4148 = 221761
BaseRepresentation
bin1000000110100
312200122
41000310
5113043
631112
715044
oct10064
95618
104148
113131
122498
131b71
141724
151368
hex1034

4148 has 12 divisors (see below), whose sum is σ = 7812. Its totient is φ = 1920.

The previous prime is 4139. The next prime is 4153. The reversal of 4148 is 8414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1444 + 2704 = 38^2 + 52^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

4148 is an undulating number in base 11.

4148 is a modest number, since divided by 148 gives 4 as remainder.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

4148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 98.

It is an arithmetic number, because the mean of its divisors is an integer number (651).

24148 is an apocalyptic number.

It is an amenable number.

4148 is a deficient number, since it is larger than the sum of its proper divisors (3664).

4148 is a wasteful number, since it uses less digits than its factorization.

4148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 4148 is about 64.4049687524. The cubic root of 4148 is about 16.0674238111.

The spelling of 4148 in words is "four thousand, one hundred forty-eight".

Divisors: 1 2 4 17 34 61 68 122 244 1037 2074 4148