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42415461 = 3311212983
BaseRepresentation
bin1010000111001…
…1010101100101
32221210221002000
42201303111211
541324243321
64113035513
71023345144
oct241632545
987727060
1042415461
1121a40400
1212255b99
138a3110a
1458c175b
153acc826
hex2873565

42415461 has 24 divisors (see below), whose sum is σ = 69074880. Its totient is φ = 25704360.

The previous prime is 42415441. The next prime is 42415469. The reversal of 42415461 is 16451424.

42415461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42415461 - 26 = 42415397 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 (42415469) 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 23 ways as a sum of consecutive naturals, for example, 3225 + ... + 9758.

It is an arithmetic number, because the mean of its divisors is an integer number (2878120).

Almost surely, 242415461 is an apocalyptic number.

It is an amenable number.

42415461 is a deficient number, since it is larger than the sum of its proper divisors (26659419).

42415461 is a wasteful number, since it uses less digits than its factorization.

42415461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014 (or 12997 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42415461 is about 6512.7153323326. The cubic root of 42415461 is about 348.7450594745.

Adding to 42415461 its reverse (16451424), we get a palindrome (58866885).

The spelling of 42415461 in words is "forty-two million, four hundred fifteen thousand, four hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 12983 38949 116847 142813 350541 428439 1285317 1570943 3855951 4712829 14138487 42415461