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444475400 = 23522222377
BaseRepresentation
bin11010011111100…
…010100000001000
31010222100200121212
4122133202200020
51402241203100
6112034352252
714004656435
oct3237424010
91128320555
10444475400
11208992a46
12104a2b688
13711141c5
1443060b8c
152904b635
hex1a7e2808

444475400 has 24 divisors (see below), whose sum is σ = 1033405770. Its totient is φ = 177790080.

The previous prime is 444475399. The next prime is 444475429. The reversal of 444475400 is 4574444.

It can be written as a sum of positive squares in 3 ways, for example, as 238208356 + 206267044 = 15434^2 + 14362^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1110989 + ... + 1111388.

Almost surely, 2444475400 is an apocalyptic number.

444475400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444475400 is an abundant number, since it is smaller than the sum of its proper divisors (588930370).

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

444475400 is a wasteful number, since it uses less digits than its factorization.

444475400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222393 (or 2222384 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 32.

The square root of 444475400 is about 21082.5852304692. The cubic root of 444475400 is about 763.1605455902.

The spelling of 444475400 in words is "four hundred forty-four million, four hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2222377 4444754 8889508 11111885 17779016 22223770 44447540 55559425 88895080 111118850 222237700 444475400