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450605556 = 223212516821
BaseRepresentation
bin11010110110111…
…011000111110100
31011101220010121200
4122312323013310
51410323334211
6112414012500
714111040552
oct3266730764
91141803550
10450605556
1121139a695
12106aa7130
137247c50b
1443bb8bd2
152985cb56
hex1adbb1f4

450605556 has 18 divisors (see below), whose sum is σ = 1139030802. Its totient is φ = 150201840.

The previous prime is 450605549. The next prime is 450605563. The reversal of 450605556 is 655506054.

It is a happy number.

450605556 is a `hidden beast` number, since 45 + 0 + 60 + 5 + 556 = 666.

It is an interprime number because it is at equal distance from previous prime (450605549) and next prime (450605563).

It can be written as a sum of positive squares in only one way, i.e., 344844900 + 105760656 = 18570^2 + 10284^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12516821 = 450605556 / (4 + 5 + 0 + 6 + 0 + 5 + 5 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 450605556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6258375 + ... + 6258446.

It is an arithmetic number, because the mean of its divisors is an integer number (63279489).

Almost surely, 2450605556 is an apocalyptic number.

It is an amenable number.

450605556 is an abundant number, since it is smaller than the sum of its proper divisors (688425246).

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

450605556 is a wasteful number, since it uses less digits than its factorization.

450605556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516831 (or 12516826 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 450605556 is about 21227.4717288706. The cubic root of 450605556 is about 766.6530140816.

The spelling of 450605556 in words is "four hundred fifty million, six hundred five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 12516821 25033642 37550463 50067284 75100926 112651389 150201852 225302778 450605556