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86593914 = 23311731997
BaseRepresentation
bin1010010100101…
…01000101111010
320000221102112000
411022111011322
5134132001124
612332001430
72101015251
oct512250572
9200842460
1086593914
1144975320
1225000276
1314c2b804
14b701798
1579076c9
hex529517a

86593914 has 64 divisors (see below), whose sum is σ = 212906880. Its totient is φ = 25868160.

The previous prime is 86593879. The next prime is 86593931. The reversal of 86593914 is 41939568.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86593914.

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 31 ways as a sum of consecutive naturals, for example, 42364 + ... + 44360.

It is an arithmetic number, because the mean of its divisors is an integer number (3326670).

Almost surely, 286593914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86593914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106453440).

86593914 is an abundant number, since it is smaller than the sum of its proper divisors (126312966).

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

86593914 is a wasteful number, since it uses less digits than its factorization.

86593914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2086 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 86593914 is about 9305.5850971339. The cubic root of 86593914 is about 442.4142666424.

The spelling of 86593914 in words is "eighty-six million, five hundred ninety-three thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 99 146 198 219 297 438 594 657 803 1314 1606 1971 1997 2409 3942 3994 4818 5991 7227 11982 14454 17973 21681 21967 35946 43362 43934 53919 65901 107838 131802 145781 197703 291562 395406 437343 593109 874686 1186218 1312029 1603591 2624058 3207182 3936087 4810773 7872174 9621546 14432319 28864638 43296957 86593914