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42257145 = 3573773149
BaseRepresentation
bin1010000100110…
…0101011111001
32221111212220110
42201030223321
541304212040
64105414533
71022115450
oct241145371
987455813
1042257145
1121942467
121219a449
1389a7038
14587db97
153a9a980
hex284caf9

42257145 has 64 divisors (see below), whose sum is σ = 80985600. Its totient is φ = 18413568.

The previous prime is 42257129. The next prime is 42257161. The reversal of 42257145 is 54175224.

42257145 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 (42257129) and next prime (42257161).

It is not a de Polignac number, because 42257145 - 24 = 42257129 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 283531 + ... + 283679.

It is an arithmetic number, because the mean of its divisors is an integer number (1265400).

Almost surely, 242257145 is an apocalyptic number.

It is an amenable number.

42257145 is a deficient number, since it is larger than the sum of its proper divisors (38728455).

42257145 is a wasteful number, since it uses less digits than its factorization.

42257145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its digits is 11200, while the sum is 30.

The square root of 42257145 is about 6500.5495921499. The cubic root of 42257145 is about 348.3106207322.

The spelling of 42257145 in words is "forty-two million, two hundred fifty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 37 73 105 111 149 185 219 259 365 447 511 555 745 777 1043 1095 1295 1533 2235 2555 2701 3129 3885 5215 5513 7665 8103 10877 13505 15645 16539 18907 27565 32631 38591 40515 54385 56721 76139 82695 94535 115773 163155 192955 228417 283605 380695 402449 578865 1142085 1207347 2012245 2817143 6036735 8451429 14085715 42257145