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42127596 = 22327167173
BaseRepresentation
bin1010000010110…
…1000011101100
32221021022012100
42200231003230
541241040341
64102535100
71021035660
oct240550354
987238170
1042127596
11218640a5
1212137490
138960094
1458488a0
153a723b6
hex282d0ec

42127596 has 36 divisors (see below), whose sum is σ = 121702672. Its totient is φ = 12036384.

The previous prime is 42127567. The next prime is 42127597. The reversal of 42127596 is 69572124.

42127596 is a `hidden beast` number, since 42 + 1 + 27 + 596 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42127596.

It is not an unprimeable number, because it can be changed into a prime (42127597) 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 11 ways as a sum of consecutive naturals, for example, 83335 + ... + 83838.

Almost surely, 242127596 is an apocalyptic number.

It is an amenable number.

42127596 is an abundant number, since it is smaller than the sum of its proper divisors (79575076).

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

42127596 is a wasteful number, since it uses less digits than its factorization.

42127596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167190 (or 167185 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42127596 is about 6490.5774781602. The cubic root of 42127596 is about 347.9543142563.

The spelling of 42127596 in words is "forty-two million, one hundred twenty-seven thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 167173 334346 501519 668692 1003038 1170211 1504557 2006076 2340422 3009114 3510633 4680844 6018228 7021266 10531899 14042532 21063798 42127596