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42645078 = 23271743463
BaseRepresentation
bin1010001010101…
…1011001010110
32222020121001100
42202223121112
541404120303
64122010530
71025322450
oct242533126
988217040
1042645078
1122087973
1212346a46
138ab1798
1459412d0
153b258a3
hex28ab656

42645078 has 96 divisors (see below), whose sum is σ = 114656256. Its totient is φ = 11176704.

The previous prime is 42645077. The next prime is 42645091. The reversal of 42645078 is 87054624.

42645078 is a `hidden beast` number, since 4 + 2 + 645 + 0 + 7 + 8 = 666.

42645078 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42645077) 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, 91875 + ... + 92337.

It is an arithmetic number, because the mean of its divisors is an integer number (1194336).

Almost surely, 242645078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42645078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57328128).

42645078 is an abundant number, since it is smaller than the sum of its proper divisors (72011178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42645078 is a wasteful number, since it uses less digits than its factorization.

42645078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42645078 is about 6530.3199002805. The cubic root of 42645078 is about 349.3732402095.

The spelling of 42645078 in words is "forty-two million, six hundred forty-five thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 43 51 63 86 102 119 126 129 153 238 258 301 306 357 387 463 602 714 731 774 903 926 1071 1389 1462 1806 2142 2193 2709 2778 3241 4167 4386 5117 5418 6482 6579 7871 8334 9723 10234 13158 15351 15742 19446 19909 23613 29169 30702 39818 46053 47226 55097 58338 59727 70839 92106 110194 119454 139363 141678 165291 179181 278726 330582 338453 358362 418089 495873 676906 836178 991746 1015359 1254267 2030718 2369171 2508534 3046077 4738342 6092154 7107513 14215026 21322539 42645078