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450463000 = 23531334651
BaseRepresentation
bin11010110110011…
…000010100011000
31011101121220001211
4122312120110120
51410304304000
6112410552504
714106605131
oct3266302430
91141556054
10450463000
11211302579
12106a38734
137242c670
1443b7cc88
15298307ba
hex1ad98518

450463000 has 64 divisors (see below), whose sum is σ = 1135199520. Its totient is φ = 166320000.

The previous prime is 450462997. The next prime is 450463007. The reversal of 450463000 is 364054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450463007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4326 + ... + 30325.

Almost surely, 2450463000 is an apocalyptic number.

450463000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450463000 is an abundant number, since it is smaller than the sum of its proper divisors (684736520).

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

450463000 is a wasteful number, since it uses less digits than its factorization.

450463000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34685 (or 34671 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 450463000 is about 21224.1136446260. The cubic root of 450463000 is about 766.5721580625.

The spelling of 450463000 in words is "four hundred fifty million, four hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 34651 69302 138604 173255 277208 346510 450463 693020 866275 900926 1386040 1732550 1801852 2252315 3465100 3603704 4331375 4504630 6930200 8662750 9009260 11261575 17325500 18018520 22523150 34651000 45046300 56307875 90092600 112615750 225231500 450463000