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42526050 = 23527101401
BaseRepresentation
bin1010001000111…
…0010101100010
32222000112202220
42202032111202
541341313200
64115251510
71024315440
oct242162542
988015686
1042526050
11220064a6
12122a9b96
138a6c558
14590db90
153b004a0
hex288e562

42526050 has 96 divisors (see below), whose sum is σ = 122027904. Its totient is φ = 9600000.

The previous prime is 42526031. The next prime is 42526067. The reversal of 42526050 is 5062524.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42526050.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105850 + ... + 106250.

It is an arithmetic number, because the mean of its divisors is an integer number (1271124).

Almost surely, 242526050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42526050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61013952).

42526050 is an abundant number, since it is smaller than the sum of its proper divisors (79501854).

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

42526050 is a wasteful number, since it uses less digits than its factorization.

42526050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42526050 is about 6521.2000429369. The cubic root of 42526050 is about 349.0478884924.

Adding to 42526050 its reverse (5062524), we get a palindrome (47588574).

The spelling of 42526050 in words is "forty-two million, five hundred twenty-six thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 101 105 150 175 202 210 303 350 401 505 525 606 707 802 1010 1050 1203 1414 1515 2005 2121 2406 2525 2807 3030 3535 4010 4242 5050 5614 6015 7070 7575 8421 10025 10605 12030 14035 15150 16842 17675 20050 21210 28070 30075 35350 40501 42105 53025 60150 70175 81002 84210 106050 121503 140350 202505 210525 243006 283507 405010 421050 567014 607515 850521 1012525 1215030 1417535 1701042 2025050 2835070 3037575 4252605 6075150 7087675 8505210 14175350 21263025 42526050