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42581052 = 2234196917
BaseRepresentation
bin1010001001101…
…1110000111100
32222010100020000
42202123300330
541400043202
64120354300
71024635003
oct242336074
988110200
1042581052
1122043858
1212315990
138a8b5b7
145925c3a
153b1191c
hex289bc3c

42581052 has 60 divisors (see below), whose sum is σ = 117190920. Its totient is φ = 13444704.

The previous prime is 42581047. The next prime is 42581081. The reversal of 42581052 is 25018524.

It is a happy number.

42581052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2698 + ... + 9614.

It is an arithmetic number, because the mean of its divisors is an integer number (1953182).

Almost surely, 242581052 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 42581052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58595460).

42581052 is an abundant number, since it is smaller than the sum of its proper divisors (74609868).

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

42581052 is a wasteful number, since it uses less digits than its factorization.

42581052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 42581052 is about 6525.4158488176. The cubic root of 42581052 is about 349.1983065777.

Adding to 42581052 its reverse (25018524), we get a palindrome (67599576).

The spelling of 42581052 in words is "forty-two million, five hundred eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 6917 13834 20751 27668 41502 62253 83004 124506 131423 186759 249012 262846 373518 394269 525692 560277 747036 788538 1120554 1182807 1577076 2241108 2365614 3548421 4731228 7096842 10645263 14193684 21290526 42581052