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441699016 = 231159241353
BaseRepresentation
bin11010010100111…
…100101011001000
31010210010122010211
4122110330223020
51401033332031
6111455050504
713642244143
oct3224745310
91123118124
10441699016
11207367010
12103b10a34
1370681585
144293b05a
1528b9dbb1
hex1a53cac8

441699016 has 64 divisors (see below), whose sum is σ = 925214400. Its totient is φ = 195993600.

The previous prime is 441699001. The next prime is 441699017. The reversal of 441699016 is 610996144.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 441699016.

It is not an unprimeable number, because it can be changed into a prime (441699017) 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, 1251096 + ... + 1251448.

It is an arithmetic number, because the mean of its divisors is an integer number (14456475).

Almost surely, 2441699016 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 441699016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462607200).

441699016 is an abundant number, since it is smaller than the sum of its proper divisors (483515384).

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

441699016 is a wasteful number, since it uses less digits than its factorization.

441699016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 441699016 is about 21016.6366481414. The cubic root of 441699016 is about 761.5682161444.

The spelling of 441699016 in words is "four hundred forty-one million, six hundred ninety-nine thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 241 353 472 482 649 706 964 1298 1412 1928 2596 2651 2824 3883 5192 5302 7766 10604 14219 15532 20827 21208 28438 31064 41654 56876 83308 85073 113752 156409 166616 170146 229097 312818 340292 458194 625636 680584 916388 935803 1251272 1832776 1871606 3743212 5019307 7486424 10038614 20077228 40154456 55212377 110424754 220849508 441699016