Search a number
-
+
450996820 = 22589253369
BaseRepresentation
bin11010111000011…
…010101001010100
31011102122000022221
4122320122221110
51410423344240
6112430232124
714114260351
oct3270325124
91142560287
10450996820
1121163764a
12107055644
1372588631
1443c7b628
15298d8a4a
hex1ae1aa54

450996820 has 24 divisors (see below), whose sum is σ = 957738600. Its totient is φ = 178371072.

The previous prime is 450996809. The next prime is 450996827. The reversal of 450996820 is 28699054.

It can be written as a sum of positive squares in 4 ways, for example, as 6461764 + 444535056 = 2542^2 + 21084^2 .

It is a super-2 number, since 2×4509968202 = 406796263300224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450996827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124905 + ... + 128464.

It is an arithmetic number, because the mean of its divisors is an integer number (39905775).

Almost surely, 2450996820 is an apocalyptic number.

It is an amenable number.

450996820 is an abundant number, since it is smaller than the sum of its proper divisors (506741780).

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

450996820 is a wasteful number, since it uses less digits than its factorization.

450996820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253467 (or 253465 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 450996820 is about 21236.6857112874. The cubic root of 450996820 is about 766.8748466375.

The spelling of 450996820 in words is "four hundred fifty million, nine hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 253369 506738 1013476 1266845 2533690 5067380 22549841 45099682 90199364 112749205 225498410 450996820