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89305488 = 2432171912
BaseRepresentation
bin1010101001010…
…11000110010000
320020001012002200
411110223012100
5140330233423
612510043200
72133040566
oct524530620
9206035080
1089305488
1146457598
1225aa9500
131566aaac
14bc09a36
157c90d43
hex552b190

89305488 has 90 divisors (see below), whose sum is σ = 266025942. Its totient is φ = 27870720.

The previous prime is 89305487. The next prime is 89305493. The reversal of 89305488 is 88450398.

It can be written as a sum of positive squares in only one way, i.e., 84052224 + 5253264 = 9168^2 + 2292^2 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (89305483) 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 17 ways as a sum of consecutive naturals, for example, 467473 + ... + 467663.

Almost surely, 289305488 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 89305488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133012971).

89305488 is an abundant number, since it is smaller than the sum of its proper divisors (176720454).

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

89305488 is a wasteful number, since it uses less digits than its factorization.

89305488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 89305488 is about 9450.1580939157. The cubic root of 89305488 is about 446.9847599266.

The spelling of 89305488 in words is "eighty-nine million, three hundred five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 191 204 272 306 382 408 573 612 764 816 1146 1224 1528 1719 2292 2448 3056 3247 3438 4584 6494 6876 9168 9741 12988 13752 19482 25976 27504 29223 36481 38964 51952 58446 72962 77928 109443 116892 145924 155856 218886 233784 291848 328329 437772 467568 583696 620177 656658 875544 1240354 1313316 1751088 1860531 2480708 2626632 3721062 4961416 5253264 5581593 7442124 9922832 11163186 14884248 22326372 29768496 44652744 89305488