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423793 = 1797257
BaseRepresentation
bin1100111011101110001
3210112100001
41213131301
5102030133
613030001
73413356
oct1473561
9715301
10423793
1126a447
12185301
1311ab86
14b062d
158587d
hex67771

423793 has 8 divisors (see below), whose sum is σ = 455112. Its totient is φ = 393216.

The previous prime is 423791. The next prime is 423803. The reversal of 423793 is 397324.

It can be written as a sum of positive squares in 4 ways, for example, as 237169 + 186624 = 487^2 + 432^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(423793) divides (423793-1)5.

It is a cyclic number.

It is not a de Polignac number, because 423793 - 21 = 423791 is a prime.

It is a Duffinian number.

423793 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1521 + ... + 1777.

It is an arithmetic number, because the mean of its divisors is an integer number (56889).

It is a Poulet number, since it divides 2423792-1.

2423793 is an apocalyptic number.

It is an amenable number.

423793 is a deficient number, since it is larger than the sum of its proper divisors (31319).

423793 is a wasteful number, since it uses less digits than its factorization.

423793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its digits is 4536, while the sum is 28.

The square root of 423793 is about 650.9938555778. The cubic root of 423793 is about 75.1134874473.

The spelling of 423793 in words is "four hundred twenty-three thousand, seven hundred ninety-three".

Divisors: 1 17 97 257 1649 4369 24929 423793