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42382710 = 2335791987
BaseRepresentation
bin1010000110101…
…1010101110110
32221202021011000
42201223111312
541322221320
64112224130
71023150516
oct241532566
987667130
1042382710
1121a18837
121223b046
138a1c236
1458b3846
153ac2c90
hex286b576

42382710 has 64 divisors (see below), whose sum is σ = 114508800. Its totient is φ = 11153376.

The previous prime is 42382699. The next prime is 42382727. The reversal of 42382710 is 1728324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20337 + ... + 22323.

It is an arithmetic number, because the mean of its divisors is an integer number (1789200).

Almost surely, 242382710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42382710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57254400).

42382710 is an abundant number, since it is smaller than the sum of its proper divisors (72126090).

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

42382710 is a wasteful number, since it uses less digits than its factorization.

42382710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42382710 is about 6510.2004577432. The cubic root of 42382710 is about 348.6552754649.

The spelling of 42382710 in words is "forty-two million, three hundred eighty-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 711 790 1185 1422 1987 2133 2370 3555 3974 4266 5961 7110 9935 10665 11922 17883 19870 21330 29805 35766 53649 59610 89415 107298 156973 178830 268245 313946 470919 536490 784865 941838 1412757 1569730 2354595 2825514 4238271 4709190 7063785 8476542 14127570 21191355 42382710