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42605310 = 23511497
BaseRepresentation
bin1010001010000…
…1101011111110
32222011120111110
42202201223332
541401332220
64121102450
71025065506
oct242415376
988146443
1042605310
1122060000
1212327a26
138a99657
145930a06
153b18be0
hex28a1afe

42605310 has 80 divisors (see below), whose sum is σ = 113636880. Its totient is φ = 10222080.

The previous prime is 42605291. The next prime is 42605323. The reversal of 42605310 is 1350624.

It is a happy number.

It is a super-2 number, since 2×426053102 = 3630424880392200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439182 + ... + 439278.

It is an arithmetic number, because the mean of its divisors is an integer number (1420461).

Almost surely, 242605310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42605310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56818440).

42605310 is an abundant number, since it is smaller than the sum of its proper divisors (71031570).

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

42605310 is an equidigital number, since it uses as much as digits as its factorization.

42605310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 42605310 is about 6527.2743162824. The cubic root of 42605310 is about 349.2646055851.

Adding to 42605310 its reverse (1350624), we get a palindrome (43955934).

The spelling of 42605310 in words is "forty-two million, six hundred five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 121 165 194 242 291 330 363 485 582 605 726 970 1067 1210 1331 1455 1815 2134 2662 2910 3201 3630 3993 5335 6402 6655 7986 10670 11737 13310 14641 16005 19965 23474 29282 32010 35211 39930 43923 58685 70422 73205 87846 117370 129107 146410 176055 219615 258214 352110 387321 439230 645535 774642 1291070 1420177 1936605 2840354 3873210 4260531 7100885 8521062 14201770 21302655 42605310