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445465008 = 24341720219
BaseRepresentation
bin11010100011010…
…100000110110000
31011001012222010000
4122203110012300
51403014340013
6112111510000
714016250542
oct3243240660
91131188100
10445465008
112094a94aa
12105228300
137139c781
144323b692
1529194973
hex1a8d41b0

445465008 has 100 divisors (see below), whose sum is σ = 1365213960. Its totient is φ = 139746816.

The previous prime is 445465003. The next prime is 445465019. The reversal of 445465008 is 800564544.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (445465003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11923 + ... + 32141.

Almost surely, 2445465008 is an apocalyptic number.

445465008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445465008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682606980).

445465008 is an abundant number, since it is smaller than the sum of its proper divisors (919748952).

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

445465008 is a wasteful number, since it uses less digits than its factorization.

445465008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20256 (or 20241 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 445465008 is about 21106.0419785425. The cubic root of 445465008 is about 763.7265086532.

The spelling of 445465008 in words is "four hundred forty-five million, four hundred sixty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 20219 22032 40438 60657 80876 121314 161752 181971 242628 323504 343723 363942 485256 545913 687446 727884 970512 1031169 1091826 1374892 1455768 1637739 2062338 2183652 2749784 2911536 3093507 3275478 4124676 4367304 5499568 6187014 6550956 8249352 8734608 9280521 12374028 13101912 16498704 18561042 24748056 26203824 27841563 37122084 49496112 55683126 74244168 111366252 148488336 222732504 445465008