Search a number
-
+
42206080 = 27579421
BaseRepresentation
bin1010000100000…
…0001110000000
32221102021212011
42201000032000
541301043310
64104342304
71021513540
oct241001600
987367764
1042206080
1121908064
1212174994
138989a17
145869320
153a8a78a
hex2840380

42206080 has 64 divisors (see below), whose sum is σ = 115325280. Its totient is φ = 14469120.

The previous prime is 42206071. The next prime is 42206093. The reversal of 42206080 is 8060224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 9190.

Almost surely, 242206080 is an apocalyptic number.

42206080 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 42206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57662640).

42206080 is an abundant number, since it is smaller than the sum of its proper divisors (73119200).

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

42206080 is an equidigital number, since it uses as much as digits as its factorization.

42206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 42206080 is about 6496.6206600047. The cubic root of 42206080 is about 348.1702606324.

The spelling of 42206080 in words is "forty-two million, two hundred six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 9421 18842 37684 47105 65947 75368 94210 131894 150736 188420 263788 301472 329735 376840 527576 602944 659470 753680 1055152 1205888 1318940 1507360 2110304 2637880 3014720 4220608 5275760 6029440 8441216 10551520 21103040 42206080