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46001 = 157293
BaseRepresentation
bin1011001110110001
32100002202
423032301
52433001
6552545
7251054
oct131661
970082
1046001
113161a
1222755
1317c27
1412a9b
15d96b
hexb3b1

46001 has 4 divisors (see below), whose sum is σ = 46452. Its totient is φ = 45552.

The previous prime is 45989. The next prime is 46021. The reversal of 46001 is 10064.

Adding to 46001 its reverse (10064), we get a palindrome (56065).

Subtracting from 46001 its reverse (10064), we obtain a cube (35937 = 333).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 30625 + 15376 = 175^2 + 124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46001.

It is not an unprimeable number, because it can be changed into a prime (46021) 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, 11 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (11613).

246001 is an apocalyptic number.

It is an amenable number.

46001 is a deficient number, since it is larger than the sum of its proper divisors (451).

46001 is a wasteful number, since it uses less digits than its factorization.

46001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 46001 is about 214.4784371446. The cubic root of 46001 is about 35.8307383494.

The spelling of 46001 in words is "forty-six thousand, one".

Divisors: 1 157 293 46001