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42553017 = 32132101277
BaseRepresentation
bin1010001001010…
…0111010111001
32222001220202200
42202110322321
541343144032
64120020413
71024460163
oct242247271
988056680
1042553017
1122024791
1212301709
138a7b900
145919933
153b0847c
hex2894eb9

42553017 has 36 divisors (see below), whose sum is σ = 67458924. Its totient is φ = 25833600.

The previous prime is 42552977. The next prime is 42553019. The reversal of 42553017 is 71035524.

It is a happy number.

42553017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3164841 + 39388176 = 1779^2 + 6276^2 .

It is not a de Polignac number, because 42553017 - 212 = 42548921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42553019) 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 35 ways as a sum of consecutive naturals, for example, 153483 + ... + 153759.

It is an arithmetic number, because the mean of its divisors is an integer number (1873859).

Almost surely, 242553017 is an apocalyptic number.

It is an amenable number.

42553017 is a deficient number, since it is larger than the sum of its proper divisors (24905907).

42553017 is a wasteful number, since it uses less digits than its factorization.

42553017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 42553017 is about 6523.2673561644. The cubic root of 42553017 is about 349.1216533610.

The spelling of 42553017 in words is "forty-two million, five hundred fifty-three thousand, seventeen".

Divisors: 1 3 9 13 39 101 117 169 277 303 507 831 909 1313 1521 2493 3601 3939 10803 11817 17069 27977 32409 46813 51207 83931 140439 153621 251793 363701 421317 1091103 3273309 4728113 14184339 42553017