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42531201 = 3271101659
BaseRepresentation
bin1010001000111…
…1100110000001
32222000210211200
42202033212001
541341444301
64115331413
71024336446
oct242174601
988023750
1042531201
112200a359
12122b0b69
138a719bb
1459119cd
153b01c86
hex288f981

42531201 has 24 divisors (see below), whose sum is σ = 63011520. Its totient is φ = 27636000.

The previous prime is 42531191. The next prime is 42531211. The reversal of 42531201 is 10213524.

It is an interprime number because it is at equal distance from previous prime (42531191) and next prime (42531211).

It is not a de Polignac number, because 42531201 - 25 = 42531169 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42531211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64210 + ... + 64868.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 242531201 is an apocalyptic number.

It is an amenable number.

42531201 is a deficient number, since it is larger than the sum of its proper divisors (20480319).

42531201 is a wasteful number, since it uses less digits than its factorization.

42531201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42531201 is about 6521.5949736242. The cubic root of 42531201 is about 349.0619808200.

Adding to 42531201 its reverse (10213524), we get a palindrome (52744725).

It can be divided in two parts, 425 and 31201, that added together give a triangular number (31626 = T251).

The spelling of 42531201 in words is "forty-two million, five hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 71 101 213 303 639 659 909 1977 5931 7171 21513 46789 64539 66559 140367 199677 421101 599031 4725689 14177067 42531201