Search a number
-
+
41376 = 253431
BaseRepresentation
bin1010000110100000
32002202110
422012200
52311001
6515320
7231426
oct120640
962673
1041376
11290a5
121bb40
1315aaa
1411116
15c3d6
hexa1a0

41376 has 24 divisors (see below), whose sum is σ = 108864. Its totient is φ = 13760.

The previous prime is 41357. The next prime is 41381. The reversal of 41376 is 67314.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13 and base 14.

It is an unprimeable number.

41376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 120 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

241376 is an apocalyptic number.

It is an amenable number.

41376 is an abundant number, since it is smaller than the sum of its proper divisors (67488).

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 (54432).

41376 is a wasteful number, since it uses less digits than its factorization.

41376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 41376 is about 203.4109141615. The cubic root of 41376 is about 34.5872607272.

The spelling of 41376 in words is "forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 431 862 1293 1724 2586 3448 5172 6896 10344 13792 20688 41376