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444604064 = 251932373
BaseRepresentation
bin11010100000000…
…001111010100000
31010222121020010012
4122200001322200
51402304312224
6112041224052
714006033522
oct3240017240
91128536105
10444604064
11208a70683
12104a92028
137115a938
1443095a12
152907480e
hex1a801ea0

444604064 has 36 divisors (see below), whose sum is σ = 882231966. Its totient is φ = 220557312.

The previous prime is 444604063. The next prime is 444604073. The reversal of 444604064 is 460406444.

It can be written as a sum of positive squares in 3 ways, for example, as 285339664 + 159264400 = 16892^2 + 12620^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 444604064.

It is not an unprimeable number, because it can be changed into a prime (444604063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1191782 + ... + 1192154.

Almost surely, 2444604064 is an apocalyptic number.

It is an amenable number.

444604064 is a deficient number, since it is larger than the sum of its proper divisors (437627902).

444604064 is an equidigital number, since it uses as much as digits as its factorization.

444604064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 444604064 is about 21085.6364381064. The cubic root of 444604064 is about 763.2341768233.

The spelling of 444604064 in words is "four hundred forty-four million, six hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 193 373 386 746 772 1492 1544 2984 3088 5968 6176 11936 37249 71989 74498 143978 148996 287956 297992 575912 595984 1151824 1191968 2303648 13893877 27787754 55575508 111151016 222302032 444604064