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42419169 = 321321672
BaseRepresentation
bin1010000111010…
…0001111100001
32221211010011100
42201310033201
541324403134
64113105013
71023362022
oct241641741
987733140
1042419169
1121a43171
1212258169
138a32a00
1458c2c49
153acd999
hex28743e1

42419169 has 27 divisors (see below), whose sum is σ = 66747603. Its totient is φ = 25947792.

The previous prime is 42419159. The next prime is 42419177. The reversal of 42419169 is 96191424.

It is a happy number.

The square root of 42419169 is 6513.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6275025 + 36144144 = 2505^2 + 6012^2 .

It is not a de Polignac number, because 42419169 - 29 = 42418657 is a prime.

It is a super-2 number, since 2×424191692 = 3598771797301122, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42419149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 253924 + ... + 254090.

Almost surely, 242419169 is an apocalyptic number.

42419169 is the 6513-rd square number.

42419169 is the 3257-th centered octagonal number.

It is an amenable number.

42419169 is a deficient number, since it is larger than the sum of its proper divisors (24328434).

42419169 is a wasteful number, since it uses less digits than its factorization.

42419169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 183 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The cubic root of 42419169 is about 348.7552217201.

Multiplying 42419169 by its sum of digits (36), we get a square (1527090084 = 390782).

The spelling of 42419169 in words is "forty-two million, four hundred nineteen thousand, one hundred sixty-nine".

Divisors: 1 3 9 13 39 117 167 169 501 507 1503 1521 2171 6513 19539 27889 28223 83667 84669 251001 254007 362557 1087671 3263013 4713241 14139723 42419169