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8990688 = 253717787
BaseRepresentation
bin100010010010…
…111111100000
3121220202220110
4202102333200
54300200223
6520411320
7136263630
oct42227740
917822813
108990688
115090923
123016b40
131b2a345
1412a06c0
15bc8d93
hex892fe0

8990688 has 96 divisors (see below), whose sum is σ = 28594944. Its totient is φ = 2414592.

The previous prime is 8990687. The next prime is 8990693. The reversal of 8990688 is 8860998.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8990687) 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, 11031 + ... + 11817.

It is an arithmetic number, because the mean of its divisors is an integer number (297864).

Almost surely, 28990688 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 8990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14297472).

8990688 is an abundant number, since it is smaller than the sum of its proper divisors (19604256).

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

8990688 is a wasteful number, since it uses less digits than its factorization.

8990688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 8990688 is about 2998.4475983415. The cubic root of 8990688 is about 207.9366177689.

The spelling of 8990688 in words is "eight million, nine hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 787 816 952 1428 1574 1632 1904 2361 2856 3148 3808 4722 5509 5712 6296 9444 11018 11424 12592 13379 16527 18888 22036 25184 26758 33054 37776 40137 44072 53516 66108 75552 80274 88144 93653 107032 132216 160548 176288 187306 214064 264432 280959 321096 374612 428128 528864 561918 642192 749224 1123836 1284384 1498448 2247672 2996896 4495344 8990688