Search a number
-
+
42415191 = 3371361283
BaseRepresentation
bin1010000111001…
…1010001010111
32221210220201000
42201303101113
541324241231
64113034343
71023344310
oct241632127
987726630
1042415191
1121a40185
12122559b3
138a30c60
1458c1607
153acc6e6
hex2873457

42415191 has 64 divisors (see below), whose sum is σ = 78883840. Its totient is φ = 21928320.

The previous prime is 42415181. The next prime is 42415193. The reversal of 42415191 is 19151424.

42415191 is a `hidden beast` number, since 424 + 151 + 91 = 666.

42415191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-42415191 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42415193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149736 + ... + 150018.

It is an arithmetic number, because the mean of its divisors is an integer number (1232560).

Almost surely, 242415191 is an apocalyptic number.

42415191 is a deficient number, since it is larger than the sum of its proper divisors (36468649).

42415191 is a wasteful number, since it uses less digits than its factorization.

42415191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 42415191 is about 6512.6946036184. The cubic root of 42415191 is about 348.7443194820.

The spelling of 42415191 in words is "forty-two million, four hundred fifteen thousand, one hundred ninety-one".

Divisors: 1 3 7 9 13 21 27 39 61 63 91 117 183 189 273 283 351 427 549 793 819 849 1281 1647 1981 2379 2457 2547 3679 3843 5551 5943 7137 7641 11037 11529 16653 17263 17829 21411 25753 33111 49959 51789 53487 77259 99333 120841 149877 155367 224419 231777 362523 466101 673257 695331 1087569 1570933 2019771 3262707 4712799 6059313 14138397 42415191