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9000992 = 2571113281
BaseRepresentation
bin100010010101…
…100000100000
3121221022001002
4202111200200
54301012432
6520531132
7136335650
oct42254040
917838032
109000992
115098640
123020aa8
131b31c40
1412a4360
15bcbe62
hex895820

9000992 has 96 divisors (see below), whose sum is σ = 23877504. Its totient is φ = 3225600.

The previous prime is 9000989. The next prime is 9000997. The reversal of 9000992 is 2990009.

It can be divided in two parts, 90009 and 92, that multiplied together give a palindrome (8280828).

9000992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9000997) 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 15 ways as a sum of consecutive naturals, for example, 31892 + ... + 32172.

It is an arithmetic number, because the mean of its divisors is an integer number (248724).

Almost surely, 29000992 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 9000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938752).

9000992 is an abundant number, since it is smaller than the sum of its proper divisors (14876512).

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

9000992 is a wasteful number, since it uses less digits than its factorization.

9000992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 9000992 is about 3000.1653287777. The cubic root of 9000992 is about 208.0160244065.

The spelling of 9000992 in words is "nine million, nine hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 281 286 308 352 364 416 562 572 616 728 1001 1124 1144 1232 1456 1967 2002 2248 2288 2464 2912 3091 3653 3934 4004 4496 4576 6182 7306 7868 8008 8992 12364 14612 15736 16016 21637 24728 25571 29224 31472 32032 40183 43274 49456 51142 58448 62944 80366 86548 98912 102284 116896 160732 173096 204568 281281 321464 346192 409136 562562 642928 692384 818272 1125124 1285856 2250248 4500496 9000992