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89565728 = 25722392
BaseRepresentation
bin1010101011010…
…10101000100000
320020112102002012
411111222220200
5140412100403
612515412052
72135203400
oct525525040
9206472065
1089565728
114661506a
1225bb4028
131572c395
14bc76800
157ce2ed8
hex556aa20

89565728 has 54 divisors (see below), whose sum is σ = 205983351. Its totient is φ = 38224704.

The previous prime is 89565713. The next prime is 89565731. The reversal of 89565728 is 82756598.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 44782864 + 44782864 = 6692^2 + 6692^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6692.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 374633 + ... + 374871.

Almost surely, 289565728 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 89565728

89565728 is an abundant number, since it is smaller than the sum of its proper divisors (116417623).

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

89565728 is an equidigital number, since it uses as much as digits as its factorization.

89565728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 248 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 50.

The square root of 89565728 is about 9463.9171594008. The cubic root of 89565728 is about 447.4185164207.

Multiplying 89565728 by its sum of digits (50), we get a square (4478286400 = 669202).

The spelling of 89565728 in words is "eighty-nine million, five hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 239 392 478 784 956 1568 1673 1912 3346 3824 6692 7648 11711 13384 23422 26768 46844 53536 57121 93688 114242 187376 228484 374752 399847 456968 799694 913936 1599388 1827872 2798929 3198776 5597858 6397552 11195716 12795104 22391432 44782864 89565728