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42717220 = 2257313479
BaseRepresentation
bin1010001011110…
…1000000100100
32222101021000021
42202331000210
541413422340
64123324524
71026043000
oct242750044
988337007
1042717220
1122127097
1212380744
138b08580
14595d700
153b3be4a
hex28bd024

42717220 has 96 divisors (see below), whose sum is σ = 112896000. Its totient is φ = 13491072.

The previous prime is 42717217. The next prime is 42717223. The reversal of 42717220 is 2271724.

It is an interprime number because it is at equal distance from previous prime (42717217) and next prime (42717223).

It is not an unprimeable number, because it can be changed into a prime (42717223) 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, 88941 + ... + 89419.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 242717220 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 42717220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448000).

42717220 is an abundant number, since it is smaller than the sum of its proper divisors (70178780).

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

42717220 is a wasteful number, since it uses less digits than its factorization.

42717220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 42717220 is about 6535.8411853410. The cubic root of 42717220 is about 349.5701389384.

Adding to 42717220 its reverse (2271724), we get a palindrome (44988944).

The spelling of 42717220 in words is "forty-two million, seven hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 343 364 455 479 490 637 686 910 958 980 1274 1372 1715 1820 1916 2395 2548 3185 3353 3430 4459 4790 6227 6370 6706 6860 8918 9580 12454 12740 13412 16765 17836 22295 23471 24908 31135 33530 43589 44590 46942 62270 67060 87178 89180 93884 117355 124540 164297 174356 217945 234710 305123 328594 435890 469420 610246 657188 821485 871780 1220492 1525615 1642970 2135861 3051230 3285940 4271722 6102460 8543444 10679305 21358610 42717220