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445453040 = 24517219267
BaseRepresentation
bin11010100011010…
…001001011110000
31011001012100200202
4122203101023300
51403013444130
6112111334332
714016200624
oct3243211360
91131170622
10445453040
112094a050a
121052213a8
13713971a6
1443237184
1529191145
hex1a8d12f0

445453040 has 60 divisors (see below), whose sum is σ = 1100241336. Its totient is φ = 167691264.

The previous prime is 445453031. The next prime is 445453067. The reversal of 445453040 is 40354544.

It is a junction number, because it is equal to n+sod(n) for n = 445452994 and 445453012.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 13487 + ... + 32753.

Almost surely, 2445453040 is an apocalyptic number.

445453040 is a gapful number since it is divisible by the number (40) 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 445453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550120668).

445453040 is an abundant number, since it is smaller than the sum of its proper divisors (654788296).

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

445453040 is a wasteful number, since it uses less digits than its factorization.

445453040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19314 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 445453040 is about 21105.7584559286. The cubic root of 445453040 is about 763.7196690882.

The spelling of 445453040 in words is "four hundred forty-five million, four hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 19267 23120 38534 77068 96335 154136 192670 308272 327539 385340 655078 770680 1310156 1541360 1637695 2620312 3275390 5240624 5568163 6550780 11136326 13101560 22272652 26203120 27840815 44545304 55681630 89090608 111363260 222726520 445453040