Search a number
-
+
490699890 = 233519412333
BaseRepresentation
bin11101001111110…
…111110001110010
31021012100010201000
4131033313301302
52001104344030
6120405222430
715105610632
oct3517676162
91235303630
10490699890
11231a950aa
12118401a16
137a879c85
14492546c2
152d12c860
hex1d3f7c72

490699890 has 128 divisors (see below), whose sum is σ = 1411603200. Its totient is φ = 120890880.

The previous prime is 490699879. The next prime is 490699943. The reversal of 490699890 is 98996094.

It is a happy number.

490699890 is a `hidden beast` number, since 490 + 69 + 9 + 8 + 90 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209164 + ... + 211496.

It is an arithmetic number, because the mean of its divisors is an integer number (11028150).

Almost surely, 2490699890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490699890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705801600).

490699890 is an abundant number, since it is smaller than the sum of its proper divisors (920903310).

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

490699890 is a wasteful number, since it uses less digits than its factorization.

490699890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 490699890 is about 22151.7468837110. The cubic root of 490699890 is about 788.7486947051.

The spelling of 490699890 in words is "four hundred ninety million, six hundred ninety-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 41 45 54 57 82 90 95 114 123 135 171 190 205 246 270 285 342 369 410 513 570 615 738 779 855 1026 1107 1230 1558 1710 1845 2214 2333 2337 2565 3690 3895 4666 4674 5130 5535 6999 7011 7790 11070 11665 11685 13998 14022 20997 21033 23330 23370 34995 35055 41994 42066 44327 62991 69990 70110 88654 95653 104985 105165 125982 132981 191306 209970 210330 221635 265962 286959 314955 398943 443270 478265 573918 629910 664905 797886 860877 956530 1196829 1329810 1434795 1721754 1817407 1994715 2393658 2582631 2869590 3634814 3989430 4304385 5165262 5452221 5984145 8608770 9087035 10904442 11968290 12913155 16356663 18174070 25826310 27261105 32713326 49069989 54522210 81783315 98139978 163566630 245349945 490699890