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42257295 = 3451031013
BaseRepresentation
bin1010000100110…
…0101110001111
32221111220010000
42201030232033
541304213140
64105415343
71022116053
oct241145617
987456100
1042257295
1121942593
121219a553
1389a7122
14587dc63
153a9aa30
hex284cb8f

42257295 has 40 divisors (see below), whose sum is σ = 76561056. Its totient is φ = 22296384.

The previous prime is 42257249. The next prime is 42257297. The reversal of 42257295 is 59275224.

It is a happy number.

42257295 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42257295 - 212 = 42253199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42257297) 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 39 ways as a sum of consecutive naturals, for example, 41209 + ... + 42221.

Almost surely, 242257295 is an apocalyptic number.

42257295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42257295 is a deficient number, since it is larger than the sum of its proper divisors (34303761).

42257295 is a wasteful number, since it uses less digits than its factorization.

42257295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 42257295 is about 6500.5611296257. The cubic root of 42257295 is about 348.3110328639.

The spelling of 42257295 in words is "forty-two million, two hundred fifty-seven thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 103 135 309 405 515 927 1013 1545 2781 3039 4635 5065 8343 9117 13905 15195 27351 41715 45585 82053 104339 136755 313017 410265 521695 939051 1565085 2817153 4695255 8451459 14085765 42257295