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42117417 = 32131139257
BaseRepresentation
bin1010000010101…
…0100100101001
32221020210020100
42200222210221
541240224132
64102420013
71020664206
oct240524451
987223210
1042117417
1121857491
1212131609
138958564
145844cad
153a6e37c
hex282a929

42117417 has 24 divisors (see below), whose sum is σ = 61981920. Its totient is φ = 27555840.

The previous prime is 42117409. The next prime is 42117469. The reversal of 42117417 is 71471124.

It is not a de Polignac number, because 42117417 - 23 = 42117409 is a prime.

It is a super-3 number, since 3×421174173 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42117017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163753 + ... + 164009.

It is an arithmetic number, because the mean of its divisors is an integer number (2582580).

Almost surely, 242117417 is an apocalyptic number.

It is an amenable number.

42117417 is a deficient number, since it is larger than the sum of its proper divisors (19864503).

42117417 is a wasteful number, since it uses less digits than its factorization.

42117417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 530 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 42117417 is about 6489.7932940888. The cubic root of 42117417 is about 347.9262873997.

It can be divided in two parts, 4211 and 7417, that added together give a triangular number (11628 = T152).

The spelling of 42117417 in words is "forty-two million, one hundred seventeen thousand, four hundred seventeen".

Divisors: 1 3 9 131 139 257 393 417 771 1179 1251 2313 18209 33667 35723 54627 101001 107169 163881 303003 321507 4679713 14039139 42117417