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42632205 = 3572115273
BaseRepresentation
bin1010001010100…
…0010000001101
32222012221101120
42202220100031
541403212310
64121431153
71025240100
oct242502015
988187346
1042632205
1122079230
121233b4b9
138aa8975
14593a737
153b21b70
hex28a840d

42632205 has 48 divisors (see below), whose sum is σ = 86577984. Its totient is φ = 17713920.

The previous prime is 42632173. The next prime is 42632207. The reversal of 42632205 is 50223624.

It is not a de Polignac number, because 42632205 - 25 = 42632173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42632207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5449 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (1803708).

Almost surely, 242632205 is an apocalyptic number.

It is an amenable number.

42632205 is an abundant number, since it is smaller than the sum of its proper divisors (43945779).

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

42632205 is a wasteful number, since it uses less digits than its factorization.

42632205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42632205 is about 6529.3341927030. The cubic root of 42632205 is about 349.3380823081.

Adding to 42632205 its reverse (50223624), we get a palindrome (92855829).

The spelling of 42632205 in words is "forty-two million, six hundred thirty-two thousand, two hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 5273 8085 15819 26365 36911 58003 79095 110733 174009 184555 258377 290015 406021 553665 775131 870045 1218063 1291885 2030105 2842147 3875655 6090315 8526441 14210735 42632205