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89352816 = 24371715643
BaseRepresentation
bin1010101001101…
…10101001110000
320020010121000120
411110312221300
5140333242231
612511050240
72133325560
oct524665160
9206117016
1089352816
114648a103
1225b10980
13156864b7
14bc1cda0
157c9ed96
hex5536a70

89352816 has 80 divisors (see below), whose sum is σ = 279339264. Its totient is φ = 24026112.

The previous prime is 89352787. The next prime is 89352827. The reversal of 89352816 is 61825398.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 2110 + ... + 13533.

Almost surely, 289352816 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 89352816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139669632).

89352816 is an abundant number, since it is smaller than the sum of its proper divisors (189986448).

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

89352816 is a wasteful number, since it uses less digits than its factorization.

89352816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15678 (or 15672 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 89352816 is about 9452.6618473317. The cubic root of 89352816 is about 447.0637067687.

The spelling of 89352816 in words is "eighty-nine million, three hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 15643 31286 46929 62572 93858 109501 125144 187716 219002 250288 265931 328503 375432 438004 531862 657006 750864 797793 876008 1063724 1314012 1595586 1752016 1861517 2127448 2628024 3191172 3723034 4254896 5256048 5584551 6382344 7446068 11169102 12764688 14892136 22338204 29784272 44676408 89352816