Search a number
-
+
629292690 = 2325131733109
BaseRepresentation
bin100101100000100…
…011111010010010
31121212010101021200
4211200203322102
52242044331230
6142235532030
721410620365
oct4540437222
91555111250
10629292690
112a3245a04
121568ba016
13a04b3950
145d8100dc
153a3a7160
hex25823e92

629292690 has 96 divisors (see below), whose sum is σ = 1772774640. Its totient is φ = 153957888.

The previous prime is 629292661. The next prime is 629292731. The reversal of 629292690 is 96292926.

It can be written as a sum of positive squares in 8 ways, for example, as 191185929 + 438106761 = 13827^2 + 20931^2 .

It is a super-2 number, since 2×6292926902 = 792018579374872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 200856 + ... + 203964.

Almost surely, 2629292690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629292690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886387320).

629292690 is an abundant number, since it is smaller than the sum of its proper divisors (1143481950).

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

629292690 is a wasteful number, since it uses less digits than its factorization.

629292690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 629292690 is about 25085.7068865918. The cubic root of 629292690 is about 856.9409480371.

The spelling of 629292690 in words is "six hundred twenty-nine million, two hundred ninety-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 173 195 234 346 390 519 585 865 1038 1170 1557 1730 2249 2595 3109 3114 4498 5190 6218 6747 7785 9327 11245 13494 15545 15570 18654 20241 22490 27981 31090 33735 40417 40482 46635 55962 67470 80834 93270 101205 121251 139905 202085 202410 242502 279810 363753 404170 537857 606255 727506 1075714 1212510 1613571 1818765 2689285 3227142 3637530 4840713 5378570 6992141 8067855 9681426 13984282 16135710 20976423 24203565 34960705 41952846 48407130 62929269 69921410 104882115 125858538 209764230 314646345 629292690