Search a number
-
+
561802248 = 233272592699
BaseRepresentation
bin100001011111000…
…110110000001000
31110011010111210200
4201133012300020
52122310132443
6131425212200
716631145300
oct4137066010
91404114720
10561802248
11269139387
12138191060
138c513487
1454882600
15344c4dd3
hex217c6c08

561802248 has 144 divisors (see below), whose sum is σ = 1800630000. Its totient is φ = 157735872.

The previous prime is 561802237. The next prime is 561802249. The reversal of 561802248 is 842208165.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (561802249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206803 + ... + 209501.

It is an arithmetic number, because the mean of its divisors is an integer number (12504375).

Almost surely, 2561802248 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 561802248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900315000).

561802248 is an abundant number, since it is smaller than the sum of its proper divisors (1238827752).

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

561802248 is a wasteful number, since it uses less digits than its factorization.

561802248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 561802248 is about 23702.3679829674. The cubic root of 561802248 is about 825.1403485744.

The spelling of 561802248 in words is "five hundred sixty-one million, eight hundred two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 59 63 72 84 98 118 126 147 168 177 196 236 252 294 354 392 413 441 472 504 531 588 708 826 882 1062 1176 1239 1416 1652 1764 2124 2478 2699 2891 3304 3528 3717 4248 4956 5398 5782 7434 8097 8673 9912 10796 11564 14868 16194 17346 18893 21592 23128 24291 26019 29736 32388 34692 37786 48582 52038 56679 64776 69384 75572 97164 104076 113358 132251 151144 159241 170037 194328 208152 226716 264502 318482 340074 396753 453432 477723 529004 636964 680148 793506 955446 1058008 1114687 1190259 1273928 1360296 1433169 1587012 1910892 2229374 2380518 2866338 3174024 3344061 3821784 4458748 4761036 5732676 6688122 7802809 8917496 9522072 10032183 11465352 13376244 15605618 20064366 23408427 26752488 31211236 40128732 46816854 62422472 70225281 80257464 93633708 140450562 187267416 280901124 561802248