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649193216 = 2871923829
BaseRepresentation
bin100110101100011…
…110011100000000
31200020120102200012
4212230132130000
52312143140331
6144230244052
722042023410
oct4654363400
91606512605
10649193216
113034a8521
121614b6628
13a46609c9
1462310640
153bed882b
hex26b1e700

649193216 has 144 divisors (see below), whose sum is σ = 1628659200. Its totient is φ = 251817984.

The previous prime is 649193203. The next prime is 649193219. The reversal of 649193216 is 612391946.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649193219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782690 + ... + 783518.

Almost surely, 2649193216 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 649193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814329600).

649193216 is an abundant number, since it is smaller than the sum of its proper divisors (979465984).

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

649193216 is a wasteful number, since it uses less digits than its factorization.

649193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 880 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 649193216 is about 25479.2703192223. The cubic root of 649193216 is about 865.8805631890.

The spelling of 649193216 in words is "six hundred forty-nine million, one hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 64 76 92 112 128 133 152 161 184 224 256 266 304 322 368 437 448 532 608 644 736 829 874 896 1064 1216 1288 1472 1658 1748 1792 2128 2432 2576 2944 3059 3316 3496 4256 4864 5152 5803 5888 6118 6632 6992 8512 10304 11606 12236 13264 13984 15751 17024 19067 20608 23212 24472 26528 27968 31502 34048 38134 41216 46424 48944 53056 55936 63004 76268 92848 97888 106112 110257 111872 126008 133469 152536 185696 195776 212224 220514 252016 266938 305072 362273 371392 391552 441028 504032 533876 610144 724546 742784 783104 882056 1008064 1067752 1220288 1449092 1485568 1764112 2016128 2135504 2440576 2535911 2898184 3528224 4032256 4271008 4881152 5071822 5796368 7056448 8542016 10143644 11592736 14112896 17084032 20287288 23185472 28225792 34168064 40574576 46370944 81149152 92741888 162298304 324596608 649193216