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42105471 = 3314310529
BaseRepresentation
bin1010000010011…
…1101001111111
32221020011211220
42200213221333
541234333341
64102244423
71020614322
oct240475177
987204756
1042105471
1121849511
1212126713
138952ca5
1458407b9
153a6aa66
hex2827a7f

42105471 has 16 divisors (see below), whose sum is σ = 59304960. Its totient is φ = 26530560.

The previous prime is 42105461. The next prime is 42105491. The reversal of 42105471 is 17450124.

It is not a de Polignac number, because 42105471 - 26 = 42105407 is a prime.

It is a super-3 number, since 3×421054713 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266 + ... + 9263.

It is an arithmetic number, because the mean of its divisors is an integer number (3706560).

Almost surely, 242105471 is an apocalyptic number.

42105471 is a deficient number, since it is larger than the sum of its proper divisors (17199489).

42105471 is a wasteful number, since it uses less digits than its factorization.

42105471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 42105471 is about 6488.8728605205. The cubic root of 42105471 is about 347.8933895256.

Adding to 42105471 its reverse (17450124), we get a palindrome (59555595).

The spelling of 42105471 in words is "forty-two million, one hundred five thousand, four hundred seventy-one".

Divisors: 1 3 31 43 93 129 1333 3999 10529 31587 326399 452747 979197 1358241 14035157 42105471