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478416645 = 33572312333
BaseRepresentation
bin11100100001000…
…000111100000101
31020100020002021000
4130201000330011
51434433313040
6115250043513
714566321500
oct3441007405
91210202230
10478416645
11226065563
12114279599
1378169095
1447778137
152c003130
hex1c840f05

478416645 has 96 divisors (see below), whose sum is σ = 1021731840. Its totient is φ = 211559040.

The previous prime is 478416613. The next prime is 478416647. The reversal of 478416645 is 546614874.

It is not a de Polignac number, because 478416645 - 25 = 478416613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 478416645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478416647) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 203899 + ... + 206231.

It is an arithmetic number, because the mean of its divisors is an integer number (10643040).

Almost surely, 2478416645 is an apocalyptic number.

478416645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478416645 is an abundant number, since it is smaller than the sum of its proper divisors (543315195).

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

478416645 is a wasteful number, since it uses less digits than its factorization.

478416645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2379 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 478416645 is about 21872.7374829947. The cubic root of 478416645 is about 782.1116596944. Note that the first 3 decimals are identical.

The spelling of 478416645 in words is "four hundred seventy-eight million, four hundred sixteen thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 49 63 93 105 135 147 155 189 217 245 279 315 441 465 651 735 837 945 1085 1323 1395 1519 1953 2205 2333 3255 4185 4557 5859 6615 6999 7595 9765 11665 13671 16331 20997 22785 29295 34995 41013 48993 62991 68355 72323 81655 104985 114317 146979 205065 216969 244965 314955 342951 361615 440937 506261 571585 650907 734895 1028853 1084845 1518783 1714755 1952721 2204685 2531305 3086559 3254535 3543827 4556349 5144265 7593915 9763605 10631481 13669047 15432795 17719135 22781745 31894443 53157405 68345235 95683329 159472215 478416645