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42570927 = 35729863
BaseRepresentation
bin1010001001100…
…1010010101111
32222002211100000
42202121102233
541344232202
64120235343
71024563330
oct242312257
988084300
1042570927
1122037193
121230bb53
138a86ac9
145922287
153b0d91c
hex28994af

42570927 has 48 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 23460192.

The previous prime is 42570917. The next prime is 42570937. The reversal of 42570927 is 72907524.

42570927 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42570917) and next prime (42570937).

It is not a de Polignac number, because 42570927 - 24 = 42570911 is a prime.

It is a super-3 number, since 3×425709273 (a number of 24 digits) contains 333 as substring.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42570891 and 42570900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42570917) 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 47 ways as a sum of consecutive naturals, for example, 48898 + ... + 49760.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 242570927 is an apocalyptic number.

42570927 is a deficient number, since it is larger than the sum of its proper divisors (32908113).

42570927 is an equidigital number, since it uses as much as digits as its factorization.

42570927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 42570927 is about 6524.6399900684. The cubic root of 42570927 is about 349.1706267141.

The spelling of 42570927 in words is "forty-two million, five hundred seventy thousand, nine hundred twenty-seven".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 243 261 567 609 783 863 1701 1827 2349 2589 5481 6041 7047 7767 16443 18123 23301 25027 49329 54369 69903 75081 163107 175189 209709 225243 489321 525567 675729 1467963 1576701 2027187 4730103 6081561 14190309 42570927