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89532384 = 2536115289
BaseRepresentation
bin1010101011000…
…10011111100000
320020110201100020
411111202133200
5140410014014
612514553440
72135004234
oct525423740
9206421306
1089532384
11465a2007
1225b98880
131571a156
14bc685c4
157cd81a9
hex55627e0

89532384 has 48 divisors (see below), whose sum is σ = 238890960. Its totient is φ = 29352960.

The previous prime is 89532379. The next prime is 89532403. The reversal of 89532384 is 48323598.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1789 + ... + 13500.

It is an arithmetic number, because the mean of its divisors is an integer number (4976895).

Almost surely, 289532384 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 89532384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119445480).

89532384 is an abundant number, since it is smaller than the sum of its proper divisors (149358576).

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

89532384 is a wasteful number, since it uses less digits than its factorization.

89532384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15363 (or 15355 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 89532384 is about 9462.1553569998. The cubic root of 89532384 is about 447.3629870902.

The spelling of 89532384 in words is "eighty-nine million, five hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 15289 30578 45867 61156 91734 122312 183468 244624 366936 489248 733872 932629 1467744 1865258 2797887 3730516 5595774 7461032 11191548 14922064 22383096 29844128 44766192 89532384