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669950208 = 2832313929
BaseRepresentation
bin100111111011101…
…010000100000000
31201200121222220200
4213323222010000
52333001401313
6150251205200
722413324414
oct4773520400
91650558820
10669950208
11314195564
12168446800
13a8a4a855
1464d94d44
153dc38b73
hex27eea100

669950208 has 108 divisors (see below), whose sum is σ = 1939888860. Its totient is φ = 222363648.

The previous prime is 669950201. The next prime is 669950327. The reversal of 669950208 is 802059966.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 661929984 = 2832^2 + 25728^2 .

It is not an unprimeable number, because it can be changed into a prime (669950201) 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 11 ways as a sum of consecutive naturals, for example, 720688 + ... + 721616.

Almost surely, 2669950208 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 669950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969944430).

669950208 is an abundant number, since it is smaller than the sum of its proper divisors (1269938652).

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

669950208 is a wasteful number, since it uses less digits than its factorization.

669950208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 669950208 is about 25883.3963768281. The cubic root of 669950208 is about 875.0123352819.

The spelling of 669950208 in words is "six hundred sixty-nine million, nine hundred fifty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 313 384 576 626 768 929 939 1152 1252 1858 1878 2304 2504 2787 2817 3716 3756 5008 5574 5634 7432 7512 8361 10016 11148 11268 14864 15024 16722 20032 22296 22536 29728 30048 33444 40064 44592 45072 59456 60096 66888 80128 89184 90144 118912 120192 133776 178368 180288 237824 240384 267552 290777 356736 360576 535104 581554 713472 721152 872331 1070208 1163108 1744662 2140416 2326216 2616993 3489324 4652432 5233986 6978648 9304864 10467972 13957296 18609728 20935944 27914592 37219456 41871888 55829184 74438912 83743776 111658368 167487552 223316736 334975104 669950208