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42000201 = 34518521
BaseRepresentation
bin1010000000110…
…1111101001001
32221000211110000
42200031331021
541223001301
64100113213
71016665365
oct240157511
987024400
1042000201
1121787411
1212095809
1389170b9
1458142a5
153a49786
hex280df49

42000201 has 10 divisors (see below), whose sum is σ = 62741162. Its totient is φ = 28000080.

The previous prime is 42000199. The next prime is 42000247. The reversal of 42000201 is 10200024.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 9801 = 6480^2 + 99^2 .

It is not a de Polignac number, because 42000201 - 21 = 42000199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42000701) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 259180 + ... + 259341.

Almost surely, 242000201 is an apocalyptic number.

It is an amenable number.

42000201 is a deficient number, since it is larger than the sum of its proper divisors (20740961).

42000201 is an equidigital number, since it uses as much as digits as its factorization.

42000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518533 (or 518524 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42000201 is about 6480.7562058760. The cubic root of 42000201 is about 347.6032189968.

Adding to 42000201 its reverse (10200024), we get a palindrome (52200225).

The spelling of 42000201 in words is "forty-two million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 27 81 518521 1555563 4666689 14000067 42000201