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450899136 = 263579367
BaseRepresentation
bin11010111000000…
…010110011000000
31011102110001100000
4122320002303000
51410412233021
6112424200000
714113402512
oct3270026300
91142401300
10450899136
11211580216
12107009000
137255302c
1443c53bb2
15298b9b26
hex1ae02cc0

450899136 has 168 divisors, whose sum is σ = 1360952320. Its totient is φ = 147992832.

The previous prime is 450899117. The next prime is 450899147. The reversal of 450899136 is 631998054.

It is a happy number.

450899136 is a `hidden beast` number, since 4 + 508 + 9 + 9 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 450899091 and 450899100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1228425 + ... + 1228791.

Almost surely, 2450899136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450899136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680476160).

450899136 is an abundant number, since it is smaller than the sum of its proper divisors (910053184).

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

450899136 is an equidigital number, since it uses as much as digits as its factorization.

450899136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 450899136 is about 21234.3856986728. The cubic root of 450899136 is about 766.8194753589.

The spelling of 450899136 in words is "four hundred fifty million, eight hundred ninety-nine thousand, one hundred thirty-six".