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42580284 = 22397157233
BaseRepresentation
bin1010001001101…
…1100100111100
32222010022011120
42202123210330
541400032114
64120350540
71024632525
oct242334474
988108146
1042580284
112204321a
1212315450
138a8b146
14592584c
153b115a9
hex289b93c

42580284 has 48 divisors (see below), whose sum is σ = 101451168. Its totient is φ = 13897728.

The previous prime is 42580283. The next prime is 42580301. The reversal of 42580284 is 48208524.

It is a happy number.

42580284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42580283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182632 + ... + 182864.

It is an arithmetic number, because the mean of its divisors is an integer number (2113566).

Almost surely, 242580284 is an apocalyptic number.

It is an amenable number.

42580284 is an abundant number, since it is smaller than the sum of its proper divisors (58870884).

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

42580284 is a wasteful number, since it uses less digits than its factorization.

42580284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 42580284 is about 6525.3570017280. The cubic root of 42580284 is about 349.1962071626.

The spelling of 42580284 in words is "forty-two million, five hundred eighty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 97 157 194 233 291 314 388 466 471 582 628 699 932 942 1164 1398 1884 2796 15229 22601 30458 36581 45202 45687 60916 67803 73162 90404 91374 109743 135606 146324 182748 219486 271212 438972 3548357 7096714 10645071 14193428 21290142 42580284