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445412440 = 235111953279
BaseRepresentation
bin11010100011000…
…111010001011000
31011001010022000001
4122203013101120
51403011144230
6112110422344
714015641354
oct3243072130
91131108001
10445412440
11209472a60
121052019b4
1371381875
1443226464
15291840ca
hex1a8c7458

445412440 has 64 divisors (see below), whose sum is σ = 1150848000. Its totient is φ = 153440640.

The previous prime is 445412419. The next prime is 445412441. The reversal of 445412440 is 44214544.

It is a junction number, because it is equal to n+sod(n) for n = 445412399 and 445412408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445412441) 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, 18280 + ... + 34999.

It is an arithmetic number, because the mean of its divisors is an integer number (17982000).

Almost surely, 2445412440 is an apocalyptic number.

445412440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445412440 is an abundant number, since it is smaller than the sum of its proper divisors (705435560).

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

445412440 is a wasteful number, since it uses less digits than its factorization.

445412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53320 (or 53316 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 445412440 is about 21104.7966111972. The cubic root of 445412440 is about 763.6964657739.

Adding to 445412440 its reverse (44214544), we get a palindrome (489626984).

The spelling of 445412440 in words is "four hundred forty-five million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 53279 106558 213116 266395 426232 532790 586069 1012301 1065580 1172138 2024602 2131160 2344276 2930345 4049204 4688552 5061505 5860690 8098408 10123010 11135311 11721380 20246020 22270622 23442760 40492040 44541244 55676555 89082488 111353110 222706220 445412440