Search a number
-
+
42742161 = 347211289
BaseRepresentation
bin1010001100001…
…1000110010001
32222102112020000
42203003012101
541420222121
64124040213
71026205500
oct243030621
988375200
1042742161
1122143900
1212393069
138b16a27
145968837
153b44526
hex28c3191

42742161 has 90 divisors (see below), whose sum is σ = 82557090. Its totient is φ = 21954240.

The previous prime is 42742127. The next prime is 42742169. The reversal of 42742161 is 16124724.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 12006225 = 5544^2 + 3465^2 .

It is not a de Polignac number, because 42742161 - 213 = 42733969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42742169) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 480205 + ... + 480293.

It is an arithmetic number, because the mean of its divisors is an integer number (917301).

Almost surely, 242742161 is an apocalyptic number.

It is an amenable number.

42742161 is a deficient number, since it is larger than the sum of its proper divisors (39814929).

42742161 is a wasteful number, since it uses less digits than its factorization.

42742161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42742161 is about 6537.7489245152. The cubic root of 42742161 is about 349.6381593804.

Adding to 42742161 its reverse (16124724), we get a palindrome (58866885).

The spelling of 42742161 in words is "forty-two million, seven hundred forty-two thousand, one hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 89 99 121 147 189 231 267 297 363 441 539 567 623 693 801 847 891 979 1089 1323 1617 1869 2079 2403 2541 2937 3267 3969 4361 4851 5607 5929 6237 6853 7209 7623 8811 9801 10769 13083 14553 16821 17787 20559 22869 26433 32307 39249 43659 47971 50463 53361 61677 68607 75383 79299 96921 117747 143913 160083 185031 226149 290763 353241 431739 480249 527681 555093 678447 872289 1295217 1583043 2035341 3885651 4749129 6106023 14247387 42742161