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42524250 = 235331259
BaseRepresentation
bin1010001000110…
…1111001011010
32222000110022020
42202031321122
541341234000
64115235310
71024310256
oct242157132
988013266
1042524250
112200510a
12122a8b36
138a6b7a2
14590d266
153aeeba0
hex288de5a

42524250 has 96 divisors (see below), whose sum is σ = 111533760. Its totient is φ = 10788000.

The previous prime is 42524239. The next prime is 42524329. The reversal of 42524250 is 5242524.

It is a happy number.

42524250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42524250.

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 47 ways as a sum of consecutive naturals, for example, 720721 + ... + 720779.

It is an arithmetic number, because the mean of its divisors is an integer number (1161810).

Almost surely, 242524250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42524250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55766880).

42524250 is an abundant number, since it is smaller than the sum of its proper divisors (69009510).

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

42524250 is a wasteful number, since it uses less digits than its factorization.

42524250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42524250 is about 6521.0620300684. The cubic root of 42524250 is about 349.0429637066.

Adding to 42524250 its reverse (5242524), we get a palindrome (47766774).

The spelling of 42524250 in words is "forty-two million, five hundred twenty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 59 62 75 93 118 125 150 155 177 186 250 295 310 354 375 465 590 750 775 885 930 961 1475 1550 1770 1829 1922 2325 2883 2950 3658 3875 4425 4650 4805 5487 5766 7375 7750 8850 9145 9610 10974 11625 14415 14750 18290 22125 23250 24025 27435 28830 44250 45725 48050 54870 56699 72075 91450 113398 120125 137175 144150 170097 228625 240250 274350 283495 340194 360375 457250 566990 685875 720750 850485 1371750 1417475 1700970 2834950 4252425 7087375 8504850 14174750 21262125 42524250