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450516 = 223113413
BaseRepresentation
bin1101101111111010100
3211212222210
41231333110
5103404031
613353420
73554313
oct1557724
9755883
10450516
11288530
12198870
1312a0a1
14ba27a
158d746
hex6dfd4

450516 has 24 divisors (see below), whose sum is σ = 1147104. Its totient is φ = 136480.

The previous prime is 450503. The next prime is 450529. The reversal of 450516 is 615054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450503) and next prime (450529).

It is a junction number, because it is equal to n+sod(n) for n = 450492 and 450501.

It is a congruent number.

It is an unprimeable number.

450516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1575 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (47796).

2450516 is an apocalyptic number.

It is an amenable number.

450516 is an abundant number, since it is smaller than the sum of its proper divisors (696588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450516 is a wasteful number, since it uses less digits than its factorization.

450516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 450516 is about 671.2048867522. The cubic root of 450516 is about 76.6602221006.

The spelling of 450516 in words is "four hundred fifty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3413 6826 10239 13652 20478 37543 40956 75086 112629 150172 225258 450516