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9987648 = 263114729
BaseRepresentation
bin100110000110…
…011001000000
3200210102110220
4212012121000
510024101043
6554023040
7150615336
oct46063100
920712426
109987648
115701960
123417a80
1320b9068
14147db56
15d24483
hex986640

9987648 has 56 divisors (see below), whose sum is σ = 28834080. Its totient is φ = 3025920.

The previous prime is 9987643. The next prime is 9987671. The reversal of 9987648 is 8467899.

It is a happy number.

It is a super-2 number, since 2×99876482 = 199506225143808, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 9987648.

It is not an unprimeable number, because it can be changed into a prime (9987643) 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, 253 + ... + 4476.

Almost surely, 29987648 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 9987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417040).

9987648 is an abundant number, since it is smaller than the sum of its proper divisors (18846432).

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

9987648 is a wasteful number, since it uses less digits than its factorization.

9987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4745 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 9987648 is about 3160.3240340193. The cubic root of 9987648 is about 215.3547271976.

It can be divided in two parts, 998 and 7648, that added together give a triangular number (8646 = T131).

The spelling of 9987648 in words is "nine million, nine hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 4729 9458 14187 18916 28374 37832 52019 56748 75664 104038 113496 151328 156057 208076 226992 302656 312114 416152 453984 624228 832304 907968 1248456 1664608 2496912 3329216 4993824 9987648