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9003978 = 2322947367
BaseRepresentation
bin100010010110…
…001111001010
3121221110010200
4202112033022
54301111403
6520553030
7136350444
oct42261712
917843120
109003978
11509a905
123022776
131b333c9
1412a5494
15bccca3
hex8963ca

9003978 has 48 divisors (see below), whose sum is σ = 20666880. Its totient is φ = 2828448.

The previous prime is 9003977. The next prime is 9003997. The reversal of 9003978 is 8793009.

9003978 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (9003977) 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 23 ways as a sum of consecutive naturals, for example, 24351 + ... + 24717.

It is an arithmetic number, because the mean of its divisors is an integer number (430560).

Almost surely, 29003978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9003978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10333440).

9003978 is an abundant number, since it is smaller than the sum of its proper divisors (11662902).

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

9003978 is a wasteful number, since it uses less digits than its factorization.

9003978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9003978 is about 3000.6629267547. The cubic root of 9003978 is about 208.0390243594.

The spelling of 9003978 in words is "nine million, three thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 261 282 367 423 522 734 846 1101 1363 2202 2726 3303 4089 6606 8178 10643 12267 17249 21286 24534 31929 34498 51747 63858 95787 103494 155241 191574 310482 500221 1000442 1500663 3001326 4501989 9003978