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42408168 = 23311160637
BaseRepresentation
bin1010000111000…
…1100011101000
32221210120001220
42201301203220
541324030133
64112542040
71023314655
oct241614350
987716056
1042408168
1121a35980
1212251920
138a2a9ba
1458bcc2c
153aca5b3
hex28718e8

42408168 has 32 divisors (see below), whose sum is σ = 115659360. Its totient is φ = 12850880.

The previous prime is 42408167. The next prime is 42408169. The reversal of 42408168 is 86180424.

It is an interprime number because it is at equal distance from previous prime (42408167) and next prime (42408169).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42408167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80055 + ... + 80582.

It is an arithmetic number, because the mean of its divisors is an integer number (3614355).

Almost surely, 242408168 is an apocalyptic number.

It is an amenable number.

42408168 is an abundant number, since it is smaller than the sum of its proper divisors (73251192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42408168 is a wasteful number, since it uses less digits than its factorization.

42408168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160657 (or 160653 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42408168 is about 6512.1554035511. The cubic root of 42408168 is about 348.7250703522.

The spelling of 42408168 in words is "forty-two million, four hundred eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 160637 321274 481911 642548 963822 1285096 1767007 1927644 3534014 3855288 5301021 7068028 10602042 14136056 21204084 42408168