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9870048 = 253243797
BaseRepresentation
bin100101101001…
…101011100000
3200120110011100
4211221223200
510011320143
6551314400
7146615436
oct45515340
920513140
109870048
115631571
12337ba00
132077686
14144cd56
15cee6d3
hex969ae0

9870048 has 72 divisors (see below), whose sum is σ = 28756728. Its totient is φ = 3209472.

The previous prime is 9870017. The next prime is 9870061. The reversal of 9870048 is 8400789.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9869994 and 9870021.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11986 + ... + 12782.

It is an arithmetic number, because the mean of its divisors is an integer number (399399).

Almost surely, 29870048 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 9870048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378364).

9870048 is an abundant number, since it is smaller than the sum of its proper divisors (18886680).

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

9870048 is a wasteful number, since it uses less digits than its factorization.

9870048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9870048 is about 3141.6632537559. The cubic root of 9870048 is about 214.5061533436.

The spelling of 9870048 in words is "nine million, eight hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 797 1032 1376 1548 1594 2064 2391 3096 3188 4128 4782 6192 6376 7173 9564 12384 12752 14346 19128 25504 28692 34271 38256 57384 68542 76512 102813 114768 137084 205626 229536 274168 308439 411252 548336 616878 822504 1096672 1233756 1645008 2467512 3290016 4935024 9870048