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9930648 = 2337134547
BaseRepresentation
bin100101111000…
…011110011000
3200200112021210
4211320132120
510020240043
6552503120
7150260220
oct45703630
920615253
109930648
115673052
1233aaaa0
132099130
141467080
15d12633
hex978798

9930648 has 64 divisors (see below), whose sum is σ = 30562560. Its totient is φ = 2618496.

The previous prime is 9930647. The next prime is 9930667. The reversal of 9930648 is 8460399.

9930648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90 + ... + 4457.

It is an arithmetic number, because the mean of its divisors is an integer number (477540).

Almost surely, 29930648 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 9930648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281280).

9930648 is an abundant number, since it is smaller than the sum of its proper divisors (20631912).

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

9930648 is a wasteful number, since it uses less digits than its factorization.

9930648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 9930648 is about 3151.2930679326. The cubic root of 9930648 is about 214.9442653440.

The spelling of 9930648 in words is "nine million, nine hundred thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 4547 9094 13641 18188 27282 31829 36376 54564 59111 63658 95487 109128 118222 127316 177333 190974 236444 254632 354666 381948 413777 472888 709332 763896 827554 1241331 1418664 1655108 2482662 3310216 4965324 9930648