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44404000 = 255317653
BaseRepresentation
bin1010100101100…
…0110100100000
310002112221211121
42221120310200
542331412000
64223422024
71046266504
oct251306440
9102487747
1044404000
1123079423
1212a54914
139279274
145c7c304
153d71b1a
hex2a58d20

44404000 has 96 divisors (see below), whose sum is σ = 115695216. Its totient is φ = 16691200.

The previous prime is 44403991. The next prime is 44404013. The reversal of 44404000 is 40444.

It can be written as a sum of positive squares in 8 ways, for example, as 1527696 + 42876304 = 1236^2 + 6548^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67674 + ... + 68326.

Almost surely, 244404000 is an apocalyptic number.

44404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57847608).

44404000 is an abundant number, since it is smaller than the sum of its proper divisors (71291216).

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

44404000 is a wasteful number, since it uses less digits than its factorization.

44404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 44404000 is about 6663.6326429358. The cubic root of 44404000 is about 354.1120438636.

Adding to 44404000 its reverse (40444), we get a palindrome (44444444).

The spelling of 44404000 in words is "forty-four million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 653 680 800 850 1000 1306 1360 1700 2000 2125 2612 2720 3265 3400 4000 4250 5224 6530 6800 8500 10448 11101 13060 13600 16325 17000 20896 22202 26120 32650 34000 44404 52240 55505 65300 68000 81625 88808 104480 111010 130600 163250 177616 222020 261200 277525 326500 355232 444040 522400 555050 653000 888080 1110100 1306000 1387625 1776160 2220200 2612000 2775250 4440400 5550500 8880800 11101000 22202000 44404000