Search a number
-
+
9798048 = 2532132617
BaseRepresentation
bin100101011000…
…000110100000
3200102210101200
4211120012200
510002014143
6550001200
7146165511
oct45300640
920383350
109798048
115592467
123346200
132050980
141430a08
15cd81d3
hex9581a0

9798048 has 72 divisors (see below), whose sum is σ = 30017988. Its totient is φ = 3013632.

The previous prime is 9797999. The next prime is 9798059. The reversal of 9798048 is 8408979.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 138384 = 3108^2 + 372^2 .

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

It is a super-2 number, since 2×97980482 = 192003489220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9797994 and 9798012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2436 + ... + 5052.

Almost surely, 29798048 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 9798048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008994).

9798048 is an abundant number, since it is smaller than the sum of its proper divisors (20219940).

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

9798048 is a wasteful number, since it uses less digits than its factorization.

9798048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9798048 is about 3130.1833812095. The cubic root of 9798048 is about 213.9832869004.

The spelling of 9798048 in words is "nine million, seven hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 2617 3744 5234 7851 10468 15702 20936 23553 31404 34021 41872 47106 62808 68042 83744 94212 102063 125616 136084 188424 204126 251232 272168 306189 376848 408252 544336 612378 753696 816504 1088672 1224756 1633008 2449512 3266016 4899024 9798048