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89889345 = 365713271
BaseRepresentation
bin1010101101110…
…01101001000001
320021010212000000
411112321221001
5141002424340
612530350213
72141022030
oct526715101
9207125000
1089889345
1146816217
122612b369
1315813780
14bd1c717
157d58d30
hex55b9a41

89889345 has 112 divisors (see below), whose sum is σ = 199782912. Its totient is φ = 37791360.

The previous prime is 89889341. The next prime is 89889347. The reversal of 89889345 is 54398898.

It is a happy number.

It is not a de Polignac number, because 89889345 - 22 = 89889341 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 89889291 and 89889300.

It is not an unprimeable number, because it can be changed into a prime (89889341) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 331560 + ... + 331830.

It is an arithmetic number, because the mean of its divisors is an integer number (1783776).

Almost surely, 289889345 is an apocalyptic number.

It is an amenable number.

89889345 is an abundant number, since it is smaller than the sum of its proper divisors (109893567).

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

89889345 is a wasteful number, since it uses less digits than its factorization.

89889345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 89889345 is about 9480.9991562071. Note that the first 3 decimals coincide. The cubic root of 89889345 is about 447.9567364285.

The spelling of 89889345 in words is "eighty-nine million, eight hundred eighty-nine thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 243 271 273 315 351 405 455 567 585 729 813 819 945 1053 1215 1355 1365 1701 1755 1897 2439 2457 2835 3159 3523 3645 4065 4095 5103 5265 5691 7317 7371 8505 9477 9485 10569 12195 12285 15795 17073 17615 21951 22113 24661 25515 28455 31707 36585 36855 47385 51219 52845 65853 66339 73983 85365 95121 109755 110565 123305 153657 158535 197559 221949 256095 285363 329265 331695 369915 460971 475605 665847 768285 856089 987795 1109745 1382913 1426815 1997541 2304855 2568267 3329235 4280445 5992623 6914565 9987705 12841335 17977869 29963115 89889345