Search a number
-
+
242851770 = 236574759
BaseRepresentation
bin11100111100110…
…01111110111010
3121220222011000000
432132121332322
5444132224040
640033053430
76006130440
oct1636317672
9556864000
10242851770
111150a1147
12693b7276
133b40bb95
1424378b90
15164c1130
hexe799fba

242851770 has 112 divisors (see below), whose sum is σ = 749185920. Its totient is φ = 55497312.

The previous prime is 242851753. The next prime is 242851793. The reversal of 242851770 is 77158242.

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 55 ways as a sum of consecutive naturals, for example, 48651 + ... + 53409.

It is an arithmetic number, because the mean of its divisors is an integer number (6689160).

Almost surely, 2242851770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242851770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374592960).

242851770 is an abundant number, since it is smaller than the sum of its proper divisors (506334150).

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

242851770 is an equidigital number, since it uses as much as digits as its factorization.

242851770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 242851770 is about 15583.7020633738. The cubic root of 242851770 is about 623.8982359936.

The spelling of 242851770 in words is "two hundred forty-two million, eight hundred fifty-one thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 729 810 945 1134 1215 1458 1701 1890 2430 2835 3402 3645 4759 5103 5670 7290 8505 9518 10206 14277 17010 23795 25515 28554 33313 42831 47590 51030 66626 71385 85662 99939 128493 142770 166565 199878 214155 256986 299817 333130 385479 428310 499695 599634 642465 770958 899451 999390 1156437 1284930 1499085 1798902 1927395 2312874 2698353 2998170 3469311 3854790 4497255 5396706 5782185 6938622 8095059 8994510 11564370 13491765 16190118 17346555 24285177 26983530 34693110 40475295 48570354 80950590 121425885 242851770