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40457 = 231759
BaseRepresentation
bin1001111000001001
32001111102
421320021
52243312
6511145
7225644
oct117011
961442
1040457
112843a
121b4b5
1315551
1410a5b
15bec2
hex9e09

40457 has 4 divisors (see below), whose sum is σ = 42240. Its totient is φ = 38676.

The previous prime is 40433. The next prime is 40459. The reversal of 40457 is 75404.

40457 is nontrivially palindromic in base 13.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 857 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (10560).

240457 is an apocalyptic number.

It is an amenable number.

40457 is a deficient number, since it is larger than the sum of its proper divisors (1783).

40457 is a wasteful number, since it uses less digits than its factorization.

40457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782.

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 40457 is about 201.1392552437. The cubic root of 40457 is about 34.3292692166.

The spelling of 40457 in words is "forty thousand, four hundred fifty-seven".

Divisors: 1 23 1759 40457