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4440216 = 233113139
BaseRepresentation
bin10000111100000010011000
322100120211110
4100330002120
52114041331
6235100320
752512144
oct20740230
98316743
104440216
112563000
1215a16a0
13bc6061
14838224
155ca946
hex43c098

4440216 has 64 divisors (see below), whose sum is σ = 12297600. Its totient is φ = 1335840.

The previous prime is 4440209. The next prime is 4440221. The reversal of 4440216 is 6120444.

4440216 = T893 + T894 + ... + T903.

It is a junction number, because it is equal to n+sod(n) for n = 4440192 and 4440201.

It is a congruent number.

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, 31875 + ... + 32013.

It is an arithmetic number, because the mean of its divisors is an integer number (192150).

Almost surely, 24440216 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 4440216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148800).

4440216 is an abundant number, since it is smaller than the sum of its proper divisors (7857384).

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

4440216 is a wasteful number, since it uses less digits than its factorization.

4440216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4440216 is about 2107.1820044790. The cubic root of 4440216 is about 164.3619805405.

It can be divided in two parts, 4440 and 216, that added together give a triangular number (4656 = T96).

The spelling of 4440216 in words is "four million, four hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 139 242 264 278 363 417 484 556 726 834 968 1112 1331 1452 1529 1668 2662 2904 3058 3336 3993 4587 5324 6116 7986 9174 10648 12232 15972 16819 18348 31944 33638 36696 50457 67276 100914 134552 185009 201828 370018 403656 555027 740036 1110054 1480072 2220108 4440216