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1147989248 = 2872232173
BaseRepresentation
bin100010001101100…
…1110110100000000
32222000010220012022
41010123032310000
54322341123443
6305525221012
740306514300
oct10433166400
92860126168
101147989248
1153a01234a
12280561768
13153ab3aa3
14ac671600
156abb4e68
hex446ced00

1147989248 has 162 divisors, whose sum is σ = 2802658194. Its totient is φ = 467884032.

The previous prime is 1147989247. The next prime is 1147989301. The reversal of 1147989248 is 8429897411.

It can be written as a sum of positive squares in only one way, i.e., 1121446144 + 26543104 = 33488^2 + 5152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1147989248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147989247) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6635690 + ... + 6635862.

Almost surely, 21147989248 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 1147989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401329097).

1147989248 is an abundant number, since it is smaller than the sum of its proper divisors (1654668946).

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

1147989248 is an equidigital number, since it uses as much as digits as its factorization.

1147989248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 205 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 53.

The square root of 1147989248 is about 33881.9900242002. The cubic root of 1147989248 is about 1047.0785755291.

The spelling of 1147989248 in words is "one billion, one hundred forty-seven million, nine hundred eighty-nine thousand, two hundred forty-eight".