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9002480 = 245432617
BaseRepresentation
bin100010010101…
…110111110000
3121221101002012
4202111313300
54301034410
6520542052
7136343204
oct42256760
917841065
109002480
115099773
123021928
131b32816
1412a4b04
15bcc605
hex895df0

9002480 has 40 divisors (see below), whose sum is σ = 21425712. Its totient is φ = 3515904.

The previous prime is 9002467. The next prime is 9002489. The reversal of 9002480 is 842009.

9002480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9002489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2132 + ... + 4748.

Almost surely, 29002480 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 9002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712856).

9002480 is an abundant number, since it is smaller than the sum of its proper divisors (12423232).

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

9002480 is a wasteful number, since it uses less digits than its factorization.

9002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 9002480 is about 3000.4133048632. The cubic root of 9002480 is about 208.0274865057.

Adding to 9002480 its reverse (842009), we get a palindrome (9844489).

The spelling of 9002480 in words is "nine million, two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2617 3440 5234 10468 13085 20936 26170 41872 52340 104680 112531 209360 225062 450124 562655 900248 1125310 1800496 2250620 4501240 9002480