Search a number
-
+
242495208 = 23341722013
BaseRepresentation
bin11100111010000…
…10111011101000
3121220022000220000
432131002323220
5444034321313
640021303000
76003114054
oct1635027350
9556260800
10242495208
1111497826a
1269264a60
133b3157b7
14242c4c64
1516450673
hexe742ee8

242495208 has 80 divisors (see below), whose sum is σ = 719197380. Its totient is φ = 76073472.

The previous prime is 242495203. The next prime is 242495221. The reversal of 242495208 is 802594242.

It can be written as a sum of positive squares in 2 ways, for example, as 228070404 + 14424804 = 15102^2 + 3798^2 .

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 (242495203) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10 + ... + 22022.

Almost surely, 2242495208 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 242495208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359598690).

242495208 is an abundant number, since it is smaller than the sum of its proper divisors (476702172).

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

242495208 is a wasteful number, since it uses less digits than its factorization.

242495208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22048 (or 22035 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 242495208 is about 15572.2576397901. The cubic root of 242495208 is about 623.5927446165.

The spelling of 242495208 in words is "two hundred forty-two million, four hundred ninety-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 22013 44026 66039 88052 132078 176104 198117 264156 374221 396234 528312 594351 748442 792468 1122663 1188702 1496884 1584936 1783053 2245326 2377404 2993768 3367989 3566106 4490652 4754808 6735978 7132212 8981304 10103967 13471956 14264424 20207934 26943912 30311901 40415868 60623802 80831736 121247604 242495208