Search a number
-
+
42529580 = 22517432909
BaseRepresentation
bin1010001000111…
…1001100101100
32222000201121122
42202033030230
541341421310
64115320112
71024331642
oct242171454
988021548
1042529580
1122009115
12122b0038
138a71042
145911192
153b01555
hex288f32c

42529580 has 48 divisors (see below), whose sum is σ = 96798240. Its totient is φ = 15633408.

The previous prime is 42529579. The next prime is 42529589. The reversal of 42529580 is 8592524.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42529580.

It is not an unprimeable number, because it can be changed into a prime (42529589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13166 + ... + 16074.

It is an arithmetic number, because the mean of its divisors is an integer number (2016630).

Almost surely, 242529580 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 42529580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48399120).

42529580 is an abundant number, since it is smaller than the sum of its proper divisors (54268660).

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

42529580 is a wasteful number, since it uses less digits than its factorization.

42529580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 42529580 is about 6521.4706930262. The cubic root of 42529580 is about 349.0575461411.

The spelling of 42529580 in words is "forty-two million, five hundred twenty-nine thousand, five hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2909 2924 3655 5818 7310 11636 14545 14620 29090 49453 58180 98906 125087 197812 247265 250174 494530 500348 625435 989060 1250870 2126479 2501740 4252958 8505916 10632395 21264790 42529580