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89726976 = 213321217
BaseRepresentation
bin1010101100100…
…10000000000000
320020211121021100
411112102000000
5140432230401
612523054400
72136444453
oct526220000
9206747240
1089726976
1146715229
1226071400
13157878b1
14bcb949a
157d25b86
hex5592000

89726976 has 84 divisors (see below), whose sum is σ = 259408422. Its totient is φ = 29884416.

The previous prime is 89726941. The next prime is 89726977. The reversal of 89726976 is 67962798.

It can be written as a sum of positive squares in only one way, i.e., 81432576 + 8294400 = 9024^2 + 2880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89726977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73120 + ... + 74336.

Almost surely, 289726976 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 89726976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129704211).

89726976 is an abundant number, since it is smaller than the sum of its proper divisors (169681446).

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

89726976 is a wasteful number, since it uses less digits than its factorization.

89726976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1222 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 89726976 is about 9472.4324225618. The cubic root of 89726976 is about 447.6868559989.

The spelling of 89726976 in words is "eighty-nine million, seven hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1217 1536 2048 2304 2434 3072 3651 4096 4608 4868 6144 7302 8192 9216 9736 10953 12288 14604 18432 19472 21906 24576 29208 36864 38944 43812 58416 73728 77888 87624 116832 155776 175248 233664 311552 350496 467328 623104 700992 934656 1246208 1401984 1869312 2492416 2803968 3738624 4984832 5607936 7477248 9969664 11215872 14954496 22431744 29908992 44863488 89726976