Search a number
-
+
496730780 = 225713475807
BaseRepresentation
bin11101100110111…
…000001010011100
31021121200112112022
4131212320022130
52004130341110
6121142355312
715211066460
oct3546701234
91247615468
10496730780
11235434207
1211a42bb38
137bbac050
1449d844a0
152d91e755
hex1d9b829c

496730780 has 96 divisors (see below), whose sum is σ = 1311399936. Its totient is φ = 153835776.

The previous prime is 496730779. The next prime is 496730783. The reversal of 496730780 is 87037694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496730783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82637 + ... + 88443.

It is an arithmetic number, because the mean of its divisors is an integer number (13660416).

Almost surely, 2496730780 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 496730780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655699968).

496730780 is an abundant number, since it is smaller than the sum of its proper divisors (814669156).

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

496730780 is a wasteful number, since it uses less digits than its factorization.

496730780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 496730780 is about 22287.4579079804. The cubic root of 496730780 is about 791.9668876236.

The spelling of 496730780 in words is "four hundred ninety-six million, seven hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 52 65 70 91 94 130 140 182 188 235 260 329 364 455 470 611 658 910 940 1222 1316 1645 1820 2444 3055 3290 4277 5807 6110 6580 8554 11614 12220 17108 21385 23228 29035 40649 42770 58070 75491 81298 85540 116140 150982 162596 203245 272929 301964 377455 406490 528437 545858 754910 812980 1056874 1091716 1364645 1509820 1910503 2113748 2642185 2729290 3548077 3821006 5284370 5458580 7096154 7642012 9552515 10568740 14192308 17740385 19105030 24836539 35480770 38210060 49673078 70961540 99346156 124182695 248365390 496730780