Search a number
-
+
4407631616 = 28176116603
BaseRepresentation
bin1000001101011011…
…10001111100000000
3102101011201212220102
410012231301330000
533011323202431
62005210501532
7214140151643
oct40655617400
912334655812
104407631616
111961aa1963
12a301348a8
1355320585b
142db543a5a
151abe44dcb
hex106b71f00

4407631616 has 72 divisors (see below), whose sum is σ = 9468862704. Its totient is φ = 2040053760.

The previous prime is 4407631573. The next prime is 4407631619. The reversal of 4407631616 is 6161367044.

It is a self number, because there is not a number n which added to its sum of digits gives 4407631616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407631619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257171 + ... + 273773.

It is an arithmetic number, because the mean of its divisors is an integer number (131511982).

Almost surely, 24407631616 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 4407631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734431352).

4407631616 is an abundant number, since it is smaller than the sum of its proper divisors (5061231088).

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

4407631616 is a wasteful number, since it uses less digits than its factorization.

4407631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16697 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 4407631616 is about 66389.9963548726. The cubic root of 4407631616 is about 1639.5893796491.

The spelling of 4407631616 in words is "four billion, four hundred seven million, six hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 256 272 488 544 976 1037 1088 1952 2074 2176 3904 4148 4352 7808 8296 15616 16592 16603 33184 33206 66368 66412 132736 132824 265472 265648 282251 531296 564502 1012783 1062592 1129004 2025566 2125184 2258008 4051132 4250368 4516016 8102264 9032032 16204528 17217311 18064064 32409056 34434622 36128128 64818112 68869244 72256256 129636224 137738488 259272448 275476976 550953952 1101907904 2203815808 4407631616