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42242310 = 2345112431
BaseRepresentation
bin1010000100100…
…1000100000110
32221111010120000
42201021010012
541303223220
64105222130
71022024265
oct241110406
987433500
1042242310
1121932300
1212191946
1389a0366
1458785dc
153a96390
hex2849106

42242310 has 120 divisors (see below), whose sum is σ = 125139168. Its totient is φ = 10216800.

The previous prime is 42242309. The next prime is 42242311. The reversal of 42242310 is 1324224.

It is an interprime number because it is at equal distance from previous prime (42242309) and next prime (42242311).

It is a super-2 number, since 2×422423102 = 3568825508272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242311) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97795 + ... + 98225.

Almost surely, 242242310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42242310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62569584).

42242310 is an abundant number, since it is smaller than the sum of its proper divisors (82896858).

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

42242310 is a wasteful number, since it uses less digits than its factorization.

42242310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42242310 is about 6499.4084346193. The cubic root of 42242310 is about 348.2698560847.

Adding to 42242310 its reverse (1324224), we get a palindrome (43566534).

The spelling of 42242310 in words is "forty-two million, two hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 121 135 162 165 198 242 270 297 330 363 405 431 495 594 605 726 810 862 891 990 1089 1210 1293 1485 1782 1815 2155 2178 2586 2970 3267 3630 3879 4310 4455 4741 5445 6465 6534 7758 8910 9482 9801 10890 11637 12930 14223 16335 19395 19602 23274 23705 28446 32670 34911 38790 42669 47410 49005 52151 58185 69822 71115 85338 98010 104302 116370 128007 142230 156453 174555 213345 256014 260755 312906 349110 384021 426690 469359 521510 640035 768042 782265 938718 1280070 1408077 1564530 1920105 2346795 2816154 3840210 4224231 4693590 7040385 8448462 14080770 21121155 42242310