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457023 = 3723109
BaseRepresentation
bin1101111100100111111
3212012220210
41233210333
5104111043
613443503
73612300
oct1574477
9765823
10457023
11292406
121a0593
13130038
14bc7a7
1590633
hex6f93f

457023 has 12 divisors (see below), whose sum is σ = 709080. Its totient is φ = 261072.

The previous prime is 457021. The next prime is 457043. The reversal of 457023 is 320754.

It is a happy number.

It is not a de Polignac number, because 457023 - 21 = 457021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

457023 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408 + ... + 1701.

It is an arithmetic number, because the mean of its divisors is an integer number (59090).

2457023 is an apocalyptic number.

457023 is a deficient number, since it is larger than the sum of its proper divisors (252057).

457023 is a wasteful number, since it uses less digits than its factorization.

457023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 457023 is about 676.0347624198. The cubic root of 457023 is about 77.0275383593.

Adding to 457023 its reverse (320754), we get a palindrome (777777).

The spelling of 457023 in words is "four hundred fifty-seven thousand, twenty-three".

Divisors: 1 3 7 21 49 147 3109 9327 21763 65289 152341 457023