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442450305 = 32511893839
BaseRepresentation
bin11010010111110…
…100000110000001
31010211112210201100
4122113310012001
51401231402210
6111523125013
713651523403
oct3227640601
91124483640
10442450305
1120782a510
12104213769
137088551b
1442a94b73
1528c9b5c0
hex1a5f4181

442450305 has 24 divisors (see below), whose sum is σ = 836634240. Its totient is φ = 214521120.

The previous prime is 442450291. The next prime is 442450343. The reversal of 442450305 is 503054244.

It is not a de Polignac number, because 442450305 - 210 = 442449281 is a prime.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 446425 + ... + 447414.

It is an arithmetic number, because the mean of its divisors is an integer number (34859760).

Almost surely, 2442450305 is an apocalyptic number.

442450305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442450305 is a deficient number, since it is larger than the sum of its proper divisors (394183935).

442450305 is a wasteful number, since it uses less digits than its factorization.

442450305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893861 (or 893858 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 442450305 is about 21034.5027276615. The cubic root of 442450305 is about 761.9997571661. Note that the first 3 decimals are identical.

The spelling of 442450305 in words is "four hundred forty-two million, four hundred fifty thousand, three hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 893839 2681517 4469195 8044551 9832229 13407585 29496687 40222755 49161145 88490061 147483435 442450305