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75686142 = 23717711493
BaseRepresentation
bin1001000001011…
…10000011111110
312021102020212110
410200232003332
5123333424032
611302114450
71606215210
oct440560376
9167366773
1075686142
11397a5134
122141ba26
13128ac9cc
14a0a25b0
1569a07cc
hex482e0fe

75686142 has 64 divisors (see below), whose sum is σ = 185877504. Its totient is φ = 20052480.

The previous prime is 75686141. The next prime is 75686161. The reversal of 75686142 is 24168657.

It is a self number, because there is not a number n which added to its sum of digits gives 75686142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75686141) 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 31 ways as a sum of consecutive naturals, for example, 49948 + ... + 51440.

It is an arithmetic number, because the mean of its divisors is an integer number (2904336).

Almost surely, 275686142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75686142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92938752).

75686142 is an abundant number, since it is smaller than the sum of its proper divisors (110191362).

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

75686142 is a wasteful number, since it uses less digits than its factorization.

75686142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593.

The product of its digits is 80640, while the sum is 39.

The square root of 75686142 is about 8699.7782730366. The cubic root of 75686142 is about 422.9984630719.

The spelling of 75686142 in words is "seventy-five million, six hundred eighty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 71 102 119 142 213 238 357 426 497 714 994 1207 1491 1493 2414 2982 2986 3621 4479 7242 8449 8958 10451 16898 20902 25347 25381 31353 50694 50762 62706 76143 106003 152286 177667 212006 318009 355334 533001 636018 742021 1066002 1484042 1802051 2226063 3604102 4452126 5406153 10812306 12614357 25228714 37843071 75686142