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4449816 = 23367109
BaseRepresentation
bin10000111110011000011000
322101002000000
4100332120120
52114343231
6235213000
752552140
oct20763030
98332000
104449816
11256a238
1215a7160
13bca537
1483b920
155cd6e6
hex43e618

4449816 has 112 divisors (see below), whose sum is σ = 14427600. Its totient is φ = 1259712.

The previous prime is 4449811. The next prime is 4449817. The reversal of 4449816 is 6189444.

4449816 = T83 + T84 + ... + T300.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4449811) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40770 + ... + 40878.

Almost surely, 24449816 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 4449816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213800).

4449816 is an abundant number, since it is smaller than the sum of its proper divisors (9977784).

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

4449816 is a wasteful number, since it uses less digits than its factorization.

4449816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4449816 is about 2109.4586983395. The cubic root of 4449816 is about 164.4803485978.

The spelling of 4449816 in words is "four million, four hundred forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 109 126 162 168 189 216 218 243 252 324 327 378 436 486 504 567 648 654 729 756 763 872 972 981 1134 1308 1458 1512 1526 1701 1944 1962 2268 2289 2616 2916 2943 3052 3402 3924 4536 4578 5103 5832 5886 6104 6804 6867 7848 8829 9156 10206 11772 13608 13734 17658 18312 20412 20601 23544 26487 27468 35316 40824 41202 52974 54936 61803 70632 79461 82404 105948 123606 158922 164808 185409 211896 247212 317844 370818 494424 556227 635688 741636 1112454 1483272 2224908 4449816