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89383068 = 223319431013
BaseRepresentation
bin1010101001111…
…10000010011100
320020012010112000
411110332002130
5140340224233
612511442300
72133513015
oct524760234
9206163460
1089383068
11464aa905
1225b26390
13156971b8
14bc2a00c
157ca8d13
hex553e09c

89383068 has 96 divisors (see below), whose sum is σ = 249849600. Its totient is φ = 27542592.

The previous prime is 89383067. The next prime is 89383079. The reversal of 89383068 is 86038398.

It is a super-3 number, since 3×893830683 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89383067) 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, 87730 + ... + 88742.

It is an arithmetic number, because the mean of its divisors is an integer number (2602600).

Almost surely, 289383068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89383068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124924800).

89383068 is an abundant number, since it is smaller than the sum of its proper divisors (160466532).

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

89383068 is a wasteful number, since it uses less digits than its factorization.

89383068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 89383068 is about 9454.2618960974. The cubic root of 89383068 is about 447.1141548904.

The spelling of 89383068 in words is "eighty-nine million, three hundred eighty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 43 54 57 76 86 108 114 129 171 172 228 258 342 387 513 516 684 774 817 1013 1026 1161 1548 1634 2026 2052 2322 2451 3039 3268 4052 4644 4902 6078 7353 9117 9804 12156 14706 18234 19247 22059 27351 29412 36468 38494 43559 44118 54702 57741 76988 87118 88236 109404 115482 130677 173223 174236 230964 261354 346446 392031 519669 522708 692892 784062 827621 1039338 1176093 1568124 1655242 2078676 2352186 2482863 3310484 4704372 4965726 7448589 9931452 14897178 22345767 29794356 44691534 89383068