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42087546 = 23317192127
BaseRepresentation
bin1010000010001…
…1010001111010
32221012021021000
42200203101322
541233300141
64102025430
71020511134
oct240432172
987167230
1042087546
1121836aa6
1212118276
138947a97
145838054
153a655b6
hex282347a

42087546 has 96 divisors (see below), whose sum is σ = 105338880. Its totient is φ = 12410496.

The previous prime is 42087541. The next prime is 42087587. The reversal of 42087546 is 64578024.

42087546 = T291 + T292 + ... + T651.

It is a self number, because there is not a number n which added to its sum of digits gives 42087546.

It is not an unprimeable number, because it can be changed into a prime (42087541) 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 47 ways as a sum of consecutive naturals, for example, 331335 + ... + 331461.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 242087546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42087546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52669440).

42087546 is an abundant number, since it is smaller than the sum of its proper divisors (63251334).

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

42087546 is a wasteful number, since it uses less digits than its factorization.

42087546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

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

The square root of 42087546 is about 6487.4915028846. The cubic root of 42087546 is about 347.8440145157.

The spelling of 42087546 in words is "forty-two million, eighty-seven thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 127 153 171 254 306 323 342 361 381 459 513 646 722 762 918 969 1026 1083 1143 1938 2159 2166 2286 2413 2907 3249 3429 4318 4826 5814 6137 6477 6498 6858 7239 8721 9747 12274 12954 14478 17442 18411 19431 19494 21717 36822 38862 41021 43434 45847 55233 58293 65151 82042 91694 110466 116586 123063 130302 137541 165699 246126 275082 331398 369189 412623 738378 779399 825246 1107567 1237869 1558798 2215134 2338197 2475738 4676394 7014591 14029182 21043773 42087546