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444663760 = 2455558297
BaseRepresentation
bin11010100000010…
…000011111010000
31010222201021000011
4122200100133100
51402313220020
6112042404304
714006402542
oct3240203720
91128637004
10444663760
11209001512
12104b00694
137117bb68
14430ad692
152908735a
hex1a8107d0

444663760 has 20 divisors (see below), whose sum is σ = 1033843428. Its totient is φ = 177865472.

The previous prime is 444663733. The next prime is 444663767. The reversal of 444663760 is 67366444.

It can be written as a sum of positive squares in 2 ways, for example, as 78783376 + 365880384 = 8876^2 + 19128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444663767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2779069 + ... + 2779228.

Almost surely, 2444663760 is an apocalyptic number.

444663760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444663760 is an abundant number, since it is smaller than the sum of its proper divisors (589179668).

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

444663760 is a wasteful number, since it uses less digits than its factorization.

444663760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558310 (or 5558304 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The square root of 444663760 is about 21087.0519513753. The cubic root of 444663760 is about 763.2683345471.

The spelling of 444663760 in words is "four hundred forty-four million, six hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5558297 11116594 22233188 27791485 44466376 55582970 88932752 111165940 222331880 444663760