Search a number
-
+
2829490866 = 234232137241
BaseRepresentation
bin1010100010100110…
…1001101010110010
321022012012000210000
42220221221222302
521243322201431
61144433450430
7130055163336
oct25051515262
97265160700
102829490866
1112221a0404
1266b710a16
13361284567
141cbadd7c6
151186129e6
hexa8a69ab2

2829490866 has 120 divisors (see below), whose sum is σ = 6703879644. Its totient is φ = 891855360.

The previous prime is 2829490847. The next prime is 2829490903. The reversal of 2829490866 is 6680949282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2742721641 + 86769225 = 52371^2 + 9315^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11740506 + ... + 11740746.

Almost surely, 22829490866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829490866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351939822).

2829490866 is an abundant number, since it is smaller than the sum of its proper divisors (3874388778).

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

2829490866 is a wasteful number, since it uses less digits than its factorization.

2829490866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2829490866 is about 53192.9588009541. The cubic root of 2829490866 is about 1414.3908303611.

The spelling of 2829490866 in words is "two billion, eight hundred twenty-nine million, four hundred ninety thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 137 138 162 207 241 274 411 414 482 529 621 723 822 1058 1233 1242 1446 1587 1863 2169 2466 3151 3174 3699 3726 4338 4761 5543 6302 6507 7398 9453 9522 11086 11097 13014 14283 16629 18906 19521 22194 28359 28566 33017 33258 39042 42849 49887 56718 66034 72473 85077 85698 99051 99774 127489 144946 149661 170154 198102 217419 254978 255231 297153 299322 382467 434838 448983 510462 594306 652257 759391 764934 891459 897966 1147401 1304514 1518782 1782918 1956771 2278173 2294802 2674377 3442203 3913542 4556346 5348754 5870313 6834519 6884406 10326609 11740626 13669038 17465993 20503557 20653218 34931986 41007114 52397979 61510671 104795958 123021342 157193937 314387874 471581811 943163622 1414745433 2829490866