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42006312 = 2332583421
BaseRepresentation
bin1010000000111…
…1011100101000
32221001010211100
42200033130220
541223200222
64100201400
71020022245
oct240173450
987033740
1042006312
1121790a67
1212099260
138919b0a
1458165cc
153a4b4ac
hex280f728

42006312 has 24 divisors (see below), whose sum is σ = 113767290. Its totient is φ = 14002080.

The previous prime is 42006277. The next prime is 42006323. The reversal of 42006312 is 21360024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41912676 + 93636 = 6474^2 + 306^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 291639 + ... + 291782.

Almost surely, 242006312 is an apocalyptic number.

It is an amenable number.

42006312 is an abundant number, since it is smaller than the sum of its proper divisors (71760978).

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

42006312 is a wasteful number, since it uses less digits than its factorization.

42006312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583433 (or 583426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42006312 is about 6481.2276614851. The cubic root of 42006312 is about 347.6200768546.

Adding to 42006312 its reverse (21360024), we get a palindrome (63366336).

The spelling of 42006312 in words is "forty-two million, six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 583421 1166842 1750263 2333684 3500526 4667368 5250789 7001052 10501578 14002104 21003156 42006312