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445241400 = 23352742069
BaseRepresentation
bin11010100010011…
…101100000111000
31011000210121101020
4122202131200320
51402440211100
6112103022440
714014326612
oct3242354070
91130717336
10445241400
112093664aa
1210513aa20
1371321a66
14431bddb2
152914d5a0
hex1a89d838

445241400 has 48 divisors (see below), whose sum is σ = 1380250200. Its totient is φ = 118730880.

The previous prime is 445241351. The next prime is 445241411. The reversal of 445241400 is 4142544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 370435 + ... + 371634.

Almost surely, 2445241400 is an apocalyptic number.

445241400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445241400 is an abundant number, since it is smaller than the sum of its proper divisors (935008800).

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

445241400 is a wasteful number, since it uses less digits than its factorization.

445241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742088 (or 742079 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 445241400 is about 21100.7440627102. The cubic root of 445241400 is about 763.5986991833.

Adding to 445241400 its reverse (4142544), we get a palindrome (449383944).

The spelling of 445241400 in words is "four hundred forty-five million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 742069 1484138 2226207 2968276 3710345 4452414 5936552 7420690 8904828 11131035 14841380 17809656 18551725 22262070 29682760 37103450 44524140 55655175 74206900 89048280 111310350 148413800 222620700 445241400