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89804640 = 25351943229
BaseRepresentation
bin1010101101001…
…00111101100000
320020222112210210
411112210331200
5140442222030
612524454120
72140220052
oct526447540
9206875723
1089804640
1146768612
12260aa340
13157b4053
14bcd98d2
157d3dbb0
hex55a4f60

89804640 has 192 divisors, whose sum is σ = 306028800. Its totient is φ = 22063104.

The previous prime is 89804629. The next prime is 89804653. The reversal of 89804640 is 4640898.

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 31 ways as a sum of consecutive naturals, for example, 392046 + ... + 392274.

It is an arithmetic number, because the mean of its divisors is an integer number (1593900).

Almost surely, 289804640 is an apocalyptic number.

89804640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153014400).

89804640 is an abundant number, since it is smaller than the sum of its proper divisors (216224160).

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

89804640 is a wasteful number, since it uses less digits than its factorization.

89804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 89804640 is about 9476.5310108710. The cubic root of 89804640 is about 447.8159852261.

The spelling of 89804640 in words is "eighty-nine million, eight hundred four thousand, six hundred forty".