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9000048 = 243971933
BaseRepresentation
bin100010010101…
…010001110000
3121221020202010
4202111101300
54301000143
6520522520
7136333131
oct42252160
917836663
109000048
115097962
123020440
131b31695
1412a3c88
15bcba33
hex895470

9000048 has 40 divisors (see below), whose sum is σ = 23501968. Its totient is φ = 2967552.

The previous prime is 9000041. The next prime is 9000049. The reversal of 9000048 is 8400009.

It is a junction number, because it is equal to n+sod(n) for n = 8999988 and 9000033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000041) 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, 3690 + ... + 5622.

Almost surely, 29000048 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 9000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750984).

9000048 is an abundant number, since it is smaller than the sum of its proper divisors (14501920).

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

9000048 is a wasteful number, since it uses less digits than its factorization.

9000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 9000048 is about 3000.0079999893. The cubic root of 9000048 is about 208.0087520972.

The spelling of 9000048 in words is "nine million, forty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 1933 2328 3866 4656 5799 7732 11598 15464 23196 30928 46392 92784 187501 375002 562503 750004 1125006 1500008 2250012 3000016 4500024 9000048