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42805024 = 2519233061
BaseRepresentation
bin1010001101001…
…0011100100000
32222112201110021
42203102130200
541424230044
64125243224
71026556663
oct243223440
988481407
1042805024
1122187059
1212403514
138b39522
1459836da
153b57e84
hex28d2720

42805024 has 48 divisors (see below), whose sum is σ = 92594880. Its totient is φ = 19388160.

The previous prime is 42805019. The next prime is 42805051. The reversal of 42805024 is 42050824.

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 42805024.

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, 12454 + ... + 15514.

It is an arithmetic number, because the mean of its divisors is an integer number (1929060).

Almost surely, 242805024 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 42805024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46297440).

42805024 is an abundant number, since it is smaller than the sum of its proper divisors (49789856).

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

42805024 is a wasteful number, since it uses less digits than its factorization.

42805024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 42805024 is about 6542.5548526550. The cubic root of 42805024 is about 349.8094854322.

Adding to 42805024 its reverse (42050824), we get a palindrome (84855848).

The spelling of 42805024 in words is "forty-two million, eight hundred five thousand, twenty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3061 3496 6122 6992 12244 13984 24488 48976 58159 70403 97952 116318 140806 232636 281612 465272 563224 930544 1126448 1337657 1861088 2252896 2675314 5350628 10701256 21402512 42805024