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89050368 = 2831183127
BaseRepresentation
bin1010100111011…
…00110100000000
320012120020010210
411103230310000
5140244102433
612500354120
72130626031
oct523546400
9205506123
1089050368
11462a2950
12259a5940
13155ab934
14bb80a88
157c40463
hex54ecd00

89050368 has 144 divisors (see below), whose sum is σ = 263725056. Its totient is φ = 26449920.

The previous prime is 89050363. The next prime is 89050391. The reversal of 89050368 is 86305098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89050363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 701121 + ... + 701247.

It is an arithmetic number, because the mean of its divisors is an integer number (1831424).

Almost surely, 289050368 is an apocalyptic number.

89050368 is a gapful number since it is divisible by the number (88) 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 89050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131862528).

89050368 is an abundant number, since it is smaller than the sum of its proper divisors (174674688).

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

89050368 is a wasteful number, since it uses less digits than its factorization.

89050368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 89050368 is about 9436.6502531354. The cubic root of 89050368 is about 446.5587184993.

The spelling of 89050368 in words is "eighty-nine million, fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 127 128 132 166 176 192 249 254 256 264 332 352 381 384 498 508 528 664 704 762 768 913 996 1016 1056 1328 1397 1408 1524 1826 1992 2032 2112 2656 2739 2794 2816 3048 3652 3984 4064 4191 4224 5312 5478 5588 6096 7304 7968 8128 8382 8448 10541 10624 10956 11176 12192 14608 15936 16256 16764 21082 21248 21912 22352 24384 29216 31623 31872 32512 33528 42164 43824 44704 48768 58432 63246 63744 67056 84328 87648 89408 97536 115951 116864 126492 134112 168656 175296 178816 231902 233728 252984 268224 337312 347853 350592 357632 463804 505968 536448 674624 695706 701184 927608 1011936 1072896 1349248 1391412 1855216 2023872 2698496 2782824 3710432 4047744 5565648 7420864 8095488 11131296 14841728 22262592 29683456 44525184 89050368