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89487328 = 257331263
BaseRepresentation
bin1010101010101…
…11011111100000
320020101102112111
411111113133200
5140402043303
612514005104
72134426000
oct525273740
9206342474
1089487328
1146571177
1225b76794
13157027a8
14bc56000
157cc9b6d
hex55577e0

89487328 has 96 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 36973440.

The previous prime is 89487323. The next prime is 89487347. The reversal of 89487328 is 82378498.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89487323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340125 + ... + 340387.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 289487328 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 89487328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

89487328 is an abundant number, since it is smaller than the sum of its proper divisors (123402272).

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

89487328 is a wasteful number, since it uses less digits than its factorization.

89487328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 89487328 is about 9459.7742044935. The cubic root of 89487328 is about 447.2879313099.

The spelling of 89487328 in words is "eighty-nine million, four hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 263 343 392 434 496 526 686 784 868 992 1052 1372 1519 1568 1736 1841 2104 2744 3038 3472 3682 4208 5488 6076 6944 7364 8153 8416 10633 10976 12152 12887 14728 16306 21266 24304 25774 29456 32612 42532 48608 51548 57071 58912 65224 85064 90209 103096 114142 130448 170128 180418 206192 228284 260896 340256 360836 399497 412384 456568 721672 798994 913136 1443344 1597988 1826272 2796479 2886688 3195976 5592958 6391952 11185916 12783904 22371832 44743664 89487328