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95716566 = 23411219257
BaseRepresentation
bin1011011010010…
…00010011010110
320200002220110000
411231020103112
5144000412231
613255312130
72241402021
oct555102326
9220086400
1095716566
114a036300
122807b646
1316aa3c2a
14c9d81b8
15860a6e6
hex5b484d6

95716566 has 120 divisors (see below), whose sum is σ = 249119640. Its totient is φ = 27371520.

The previous prime is 95716531. The next prime is 95716567. The reversal of 95716566 is 66561759.

It is a super-2 number, since 2×957165662 = 18323322013664712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95716567) 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 59 ways as a sum of consecutive naturals, for example, 372310 + ... + 372566.

It is an arithmetic number, because the mean of its divisors is an integer number (2075997).

Almost surely, 295716566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95716566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124559820).

95716566 is an abundant number, since it is smaller than the sum of its proper divisors (153403074).

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

95716566 is a wasteful number, since it uses less digits than its factorization.

95716566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 95716566 is about 9783.4843486357. The cubic root of 95716566 is about 457.4346265096.

The spelling of 95716566 in words is "ninety-five million, seven hundred sixteen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 121 162 171 198 209 242 257 297 342 363 418 513 514 594 627 726 771 891 1026 1089 1254 1539 1542 1782 1881 2178 2299 2313 2827 3078 3267 3762 4598 4626 4883 5643 5654 6534 6897 6939 8481 9766 9801 11286 13794 13878 14649 16929 16962 19602 20691 20817 25443 29298 31097 33858 41382 41634 43947 50886 53713 62073 62194 76329 87894 93291 107426 124146 131841 152658 161139 186219 186582 228987 263682 279873 322278 372438 395523 457974 483417 559746 590843 791046 839619 966834 1181686 1450251 1679238 1772529 2518857 2900502 3545058 4350753 5037714 5317587 8701506 10635174 15952761 31905522 47858283 95716566