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42252327 = 3313177397
BaseRepresentation
bin1010000100101…
…1100000100111
32221111122022000
42201023200213
541304033302
64105340343
71022065425
oct241134047
987448260
1042252327
1121939887
12121976b3
1389a4aa0
14587c115
153a9931c
hex284b827

42252327 has 64 divisors (see below), whose sum is σ = 73100160. Its totient is φ = 23887872.

The previous prime is 42252323. The next prime is 42252337. The reversal of 42252327 is 72325224.

42252327 is a `hidden beast` number, since 422 + 5 + 232 + 7 = 666.

It is not a de Polignac number, because 42252327 - 22 = 42252323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42252327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252323) 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 63 ways as a sum of consecutive naturals, for example, 435543 + ... + 435639.

It is an arithmetic number, because the mean of its divisors is an integer number (1142190).

Almost surely, 242252327 is an apocalyptic number.

42252327 is a deficient number, since it is larger than the sum of its proper divisors (30847833).

42252327 is a wasteful number, since it uses less digits than its factorization.

42252327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 42252327 is about 6500.1789975354. The cubic root of 42252327 is about 348.2973825421.

The spelling of 42252327 in words is "forty-two million, two hundred fifty-two thousand, three hundred twenty-seven".

Divisors: 1 3 9 13 17 27 39 51 73 97 117 153 219 221 291 351 459 657 663 873 949 1241 1261 1649 1971 1989 2619 2847 3723 3783 4947 5967 7081 8541 11169 11349 14841 16133 21243 21437 25623 33507 34047 44523 48399 63729 64311 92053 120377 145197 191187 192933 276159 361131 435591 578799 828477 1083393 1564901 2485431 3250179 4694703 14084109 42252327