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450457 = 7229317
BaseRepresentation
bin1101101111110011001
3211212220121
41231332121
5103403312
613353241
73554200
oct1557631
9755817
10450457
11288487
12198821
1312a057
14ba237
158d707
hex6df99

450457 has 12 divisors (see below), whose sum is σ = 543780. Its totient is φ = 371616.

The previous prime is 450451. The next prime is 450473. The reversal of 450457 is 754054.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 337561 = 336^2 + 581^2 .

It is a de Polignac number, because none of the positive numbers 2k-450457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1263 + ... + 1579.

It is an arithmetic number, because the mean of its divisors is an integer number (45315).

2450457 is an apocalyptic number.

It is an amenable number.

450457 is a deficient number, since it is larger than the sum of its proper divisors (93323).

450457 is a wasteful number, since it uses less digits than its factorization.

450457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 450457 is about 671.1609345008. The cubic root of 450457 is about 76.6568754562.

The spelling of 450457 in words is "four hundred fifty thousand, four hundred fifty-seven".

Divisors: 1 7 29 49 203 317 1421 2219 9193 15533 64351 450457