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450241 = 112612
BaseRepresentation
bin1101101111011000001
3211212121121
41231323001
5103401431
613352241
73553441
oct1557301
9755547
10450241
11288300
12198681
13129c1c
14ba121
158d611
hex6dec1

450241 has 9 divisors (see below), whose sum is σ = 503139. Its totient is φ = 402600.

The previous prime is 450239. The next prime is 450257. The reversal of 450241 is 142054.

The square root of 450241 is 671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14641 + 435600 = 121^2 + 660^2 .

It is not a de Polignac number, because 450241 - 21 = 450239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7351 + ... + 7411.

2450241 is an apocalyptic number.

450241 is the 671-st square number.

450241 is the 336-th centered octagonal number.

It is an amenable number.

450241 is a deficient number, since it is larger than the sum of its proper divisors (52898).

450241 is an equidigital number, since it uses as much as digits as its factorization.

450241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The cubic root of 450241 is about 76.6446208404.

Multiplying 450241 by its sum of digits (16), we get a square (7203856 = 26842).

Adding to 450241 its reverse (142054), we get a palindrome (592295).

The spelling of 450241 in words is "four hundred fifty thousand, two hundred forty-one".

Divisors: 1 11 61 121 671 3721 7381 40931 450241