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44000216 = 23131741607
BaseRepresentation
bin1010011111011…
…0001111011000
310001210102221122
42213312033120
542231001331
64211024412
71042665341
oct247661730
9101712848
1044000216
1122923017
121289b108
139167540
145bb50c8
153ce217b
hex29f63d8

44000216 has 64 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 18616320.

The previous prime is 44000213. The next prime is 44000249. The reversal of 44000216 is 61200044.

44000216 = T1288 + T1289 + ... + T1338.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 44000194 and 44000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44000213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72185 + ... + 72791.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 244000216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

44000216 is an abundant number, since it is smaller than the sum of its proper divisors (52525864).

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

44000216 is a wasteful number, since it uses less digits than its factorization.

44000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 44000216 is about 6633.2658623034. The cubic root of 44000216 is about 353.0354112250.

The spelling of 44000216 in words is "forty-four million, two hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 221 328 442 533 607 697 884 1066 1214 1394 1768 2132 2428 2788 4264 4856 5576 7891 9061 10319 15782 18122 20638 24887 31564 36244 41276 49774 63128 72488 82552 99548 134147 199096 268294 323531 423079 536588 647062 846158 1073176 1294124 1692316 2588248 3384632 5500027 11000054 22000108 44000216