Search a number
-
+
9826948048 = 2419106130467
BaseRepresentation
bin10010010011011101…
…10101001111010000
3221100212010200110211
421021232311033100
5130111144314143
64303041333504
7465343452211
oct111156651720
927325120424
109826948048
114193068575
121aa3037294
13c07ba9c78
14693197408
153c7ac849d
hex249bb53d0

9826948048 has 40 divisors (see below), whose sum is σ = 20061349920. Its totient is φ = 4650330240.

The previous prime is 9826948003. The next prime is 9826948057. The reversal of 9826948048 is 8408496289.

9826948048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9826947983 and 9826948001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307311 + ... + 337777.

It is an arithmetic number, because the mean of its divisors is an integer number (501533748).

Almost surely, 29826948048 is an apocalyptic number.

It is an amenable number.

9826948048 is an abundant number, since it is smaller than the sum of its proper divisors (10234401872).

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

9826948048 is a wasteful number, since it uses less digits than its factorization.

9826948048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31555 (or 31549 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 58.

The square root of 9826948048 is about 99130.9641232244. The cubic root of 9826948048 is about 2141.9346675905.

The spelling of 9826948048 in words is "nine billion, eight hundred twenty-six million, nine hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 1061 2122 4244 8488 16976 20159 30467 40318 60934 80636 121868 161272 243736 322544 487472 578873 1157746 2315492 4630984 9261968 32325487 64650974 129301948 258603896 517207792 614184253 1228368506 2456737012 4913474024 9826948048