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42127569 = 32111812351
BaseRepresentation
bin1010000010110…
…1000011010001
32221021022011100
42200231003101
541241040234
64102535013
71021035621
oct240550321
987238140
1042127569
1121864080
1212137469
138960073
145848881
153a72399
hex282d0d1

42127569 has 24 divisors (see below), whose sum is σ = 66777984. Its totient is φ = 25380000.

The previous prime is 42127567. The next prime is 42127597. The reversal of 42127569 is 96572124.

It is not a de Polignac number, because 42127569 - 21 = 42127567 is a prime.

It is a super-2 number, since 2×421275692 = 3549464139699522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42127567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16744 + ... + 19094.

It is an arithmetic number, because the mean of its divisors is an integer number (2782416).

Almost surely, 242127569 is an apocalyptic number.

It is an amenable number.

42127569 is a deficient number, since it is larger than the sum of its proper divisors (24650415).

42127569 is a wasteful number, since it uses less digits than its factorization.

42127569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2546 counting only the distinct ones).

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

The square root of 42127569 is about 6490.5753982216. The cubic root of 42127569 is about 347.9542399204.

It can be divided in two parts, 4212 and 7569, that added together give a triangular number (11781 = T153).

The spelling of 42127569 in words is "forty-two million, one hundred twenty-seven thousand, five hundred sixty-nine".

Divisors: 1 3 9 11 33 99 181 543 1629 1991 2351 5973 7053 17919 21159 25861 77583 232749 425531 1276593 3829779 4680841 14042523 42127569