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42782740 = 225711132137
BaseRepresentation
bin1010001100110…
…1000000010100
32222111120212221
42203031000110
541423021430
64124552124
71026435010
oct243150024
988446787
1042782740
1122171340
12123b2644
138b2c340
145979540
153b5157a
hex28cd014

42782740 has 96 divisors (see below), whose sum is σ = 120685824. Its totient is φ = 12303360.

The previous prime is 42782717. The next prime is 42782741. The reversal of 42782740 is 4728724.

It is a junction number, because it is equal to n+sod(n) for n = 42782696 and 42782705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42782741) 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, 18952 + ... + 21088.

It is an arithmetic number, because the mean of its divisors is an integer number (1257144).

Almost surely, 242782740 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 42782740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60342912).

42782740 is an abundant number, since it is smaller than the sum of its proper divisors (77903084).

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

42782740 is a wasteful number, since it uses less digits than its factorization.

42782740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 42782740 is about 6540.8516265086. The cubic root of 42782740 is about 349.7487720942.

The spelling of 42782740 in words is "forty-two million, seven hundred eighty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2137 2860 4004 4274 5005 8548 10010 10685 14959 20020 21370 23507 27781 29918 42740 47014 55562 59836 74795 94028 111124 117535 138905 149590 164549 194467 235070 277810 299180 305591 329098 388934 470140 555620 611182 658196 777868 822745 972335 1222364 1527955 1645490 1944670 2139137 3055910 3290980 3889340 4278274 6111820 8556548 10695685 21391370 42782740