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669629232 = 243259269293
BaseRepresentation
bin100111111010011…
…011101100110000
31201200000200121200
4213322123230300
52332411113412
6150240251200
722410516546
oct4772335460
91650020550
10669629232
11313a96398
12168310b00
13a896771c
1464d0dd96
153dbc39dc
hex27e9bb30

669629232 has 120 divisors (see below), whose sum is σ = 1919408400. Its totient is φ = 217864704.

The previous prime is 669629209. The next prime is 669629243. The reversal of 669629232 is 232926966.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2285278 + ... + 2285570.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070).

Almost surely, 2669629232 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 669629232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959704200).

669629232 is an abundant number, since it is smaller than the sum of its proper divisors (1249779168).

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

669629232 is a wasteful number, since it uses less digits than its factorization.

669629232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 626 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 669629232 is about 25877.1952112280. The cubic root of 669629232 is about 874.8725722461.

The spelling of 669629232 in words is "six hundred sixty-nine million, six hundred twenty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 269 293 354 472 531 538 586 708 807 879 944 1062 1076 1172 1416 1614 1758 2124 2152 2344 2421 2637 2832 3228 3516 4248 4304 4688 4842 5274 6456 7032 8496 9684 10548 12912 14064 15871 17287 19368 21096 31742 34574 38736 42192 47613 51861 63484 69148 78817 95226 103722 126968 138296 142839 155583 157634 190452 207444 236451 253936 276592 285678 311166 315268 380904 414888 472902 571356 622332 630536 709353 761808 829776 945804 1142712 1244664 1261072 1418706 1891608 2285424 2489328 2837412 3783216 4650203 5674824 9300406 11349648 13950609 18600812 27901218 37201624 41851827 55802436 74403248 83703654 111604872 167407308 223209744 334814616 669629232