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9002896 = 247312593
BaseRepresentation
bin100010010101…
…111110010000
3121221101122121
4202111332100
54301043041
6520544024
7136344340
oct42257620
917841577
109002896
11509a011
123022014
131b32a76
1412a4d20
15bcc7d1
hex895f90

9002896 has 40 divisors (see below), whose sum is σ = 20585984. Its totient is φ = 3732480.

The previous prime is 9002893. The next prime is 9002909. The reversal of 9002896 is 6982009.

9002896 is nontrivially palindromic in base 3.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9002893) 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 7 ways as a sum of consecutive naturals, for example, 2176 + ... + 4768.

Almost surely, 29002896 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 9002896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10292992).

9002896 is an abundant number, since it is smaller than the sum of its proper divisors (11583088).

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

9002896 is a wasteful number, since it uses less digits than its factorization.

9002896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 9002896 is about 3000.4826278451. The cubic root of 9002896 is about 208.0306907376.

The spelling of 9002896 in words is "nine million, two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 2593 3472 5186 10372 18151 20744 36302 41488 72604 80383 145208 160766 290416 321532 562681 643064 1125362 1286128 2250724 4501448 9002896