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42127201 = 3710111273
BaseRepresentation
bin1010000010110…
…0111101100001
32221021021122201
42200230331201
541241032301
64102533201
71021034554
oct240547541
987237581
1042127201
1121863876
1212137201
13895cb4c
14584869b
153a72201
hex282cf61

42127201 has 8 divisors (see below), whose sum is σ = 43698024. Its totient is φ = 40579200.

The previous prime is 42127193. The next prime is 42127223. The reversal of 42127201 is 10272124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20976400 + 21150801 = 4580^2 + 4599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42127201 - 23 = 42127193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42128201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900 + ... + 9373.

It is an arithmetic number, because the mean of its divisors is an integer number (5462253).

Almost surely, 242127201 is an apocalyptic number.

It is an amenable number.

42127201 is a deficient number, since it is larger than the sum of its proper divisors (1570823).

42127201 is a wasteful number, since it uses less digits than its factorization.

42127201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11411.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 42127201 is about 6490.5470493634. The cubic root of 42127201 is about 347.9532267475.

Adding to 42127201 its reverse (10272124), we get a palindrome (52399325).

The spelling of 42127201 in words is "forty-two million, one hundred twenty-seven thousand, two hundred one".

Divisors: 1 37 101 3737 11273 417101 1138573 42127201