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669617928 = 23347221089
BaseRepresentation
bin100111111010011…
…000111100001000
31201200000010010000
4213322120330020
52332410233203
6150240123000
722410441600
oct4772307410
91650003100
10669617928
11313a88951
12168306460
13a8962535
1464d09c00
153dbc04a3
hex27e98f08

669617928 has 120 divisors (see below), whose sum is σ = 2181865950. Its totient is φ = 191310336.

The previous prime is 669617909. The next prime is 669617941. The reversal of 669617928 is 829716966.

669617928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 371641284 + 297976644 = 19278^2 + 17262^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21208 + ... + 42296.

Almost surely, 2669617928 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 669617928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090932975).

669617928 is an abundant number, since it is smaller than the sum of its proper divisors (1512248022).

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

669617928 is a wasteful number, since it uses less digits than its factorization.

669617928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121 (or 21101 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 669617928 is about 25876.9767940538. The cubic root of 669617928 is about 874.8676493153.

The spelling of 669617928 in words is "six hundred sixty-nine million, six hundred seventeen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 21089 31752 42178 63267 84356 126534 147623 168712 189801 253068 295246 379602 442869 506136 569403 590492 759204 885738 1033361 1138806 1180984 1328607 1518408 1708209 1771476 2066722 2277612 2657214 3100083 3416418 3542952 3985821 4133444 4555224 5314428 6200166 6832836 7971642 8266888 9300249 10628856 11957463 12400332 13665672 15943284 18600498 23914926 24800664 27900747 31886568 37200996 47829852 55801494 74401992 83702241 95659704 111602988 167404482 223205976 334808964 669617928