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42817720 = 23511234231
BaseRepresentation
bin1010001101010…
…1100010111000
32222120100212111
42203111202320
541430131340
64125422104
71026642001
oct243254270
988510774
1042817720
1122195650
121240a934
138b4223a
1459881a8
153b5baea
hex28d58b8

42817720 has 64 divisors (see below), whose sum is σ = 109693440. Its totient is φ = 14889600.

The previous prime is 42817703. The next prime is 42817739. The reversal of 42817720 is 2771824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8005 + ... + 12235.

It is an arithmetic number, because the mean of its divisors is an integer number (1713960).

Almost surely, 242817720 is an apocalyptic number.

42817720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42817720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54846720).

42817720 is an abundant number, since it is smaller than the sum of its proper divisors (66875720).

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

42817720 is a wasteful number, since it uses less digits than its factorization.

42817720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 42817720 is about 6543.5250438888. The cubic root of 42817720 is about 349.8440665927.

The spelling of 42817720 in words is "forty-two million, eight hundred seventeen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 4231 5060 8462 10120 16924 21155 33848 42310 46541 84620 93082 97313 169240 186164 194626 232705 372328 389252 465410 486565 778504 930820 973130 1070443 1861640 1946260 2140886 3892520 4281772 5352215 8563544 10704430 21408860 42817720