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42815201 = 1113714217
BaseRepresentation
bin1010001101010…
…0111011100001
32222120020102012
42203110323201
541430041301
64125402305
71026631442
oct243247341
988506365
1042815201
1122193770
1212409395
138b41050
1459872c9
153b5aebb
hex28d4ee1

42815201 has 16 divisors (see below), whose sum is σ = 51020928. Its totient is φ = 35414400.

The previous prime is 42815153. The next prime is 42815203. The reversal of 42815201 is 10251824.

42815201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42815201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42815203) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8045 + ... + 12261.

It is an arithmetic number, because the mean of its divisors is an integer number (3188808).

Almost surely, 242815201 is an apocalyptic number.

It is an amenable number.

42815201 is a deficient number, since it is larger than the sum of its proper divisors (8205727).

42815201 is a wasteful number, since it uses less digits than its factorization.

42815201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312.

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 42815201 is about 6543.3325607064. The cubic root of 42815201 is about 349.8372059246.

The spelling of 42815201 in words is "forty-two million, eight hundred fifteen thousand, two hundred one".

Divisors: 1 11 13 71 143 781 923 4217 10153 46387 54821 299407 603031 3293477 3892291 42815201