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1329589248 = 2103133197
BaseRepresentation
bin100111100111111…
…1110110000000000
310102122212010120020
41033033332300000
510210333323443
6335533413440
744643215331
oct11717766000
93378763506
101329589248
11622578099
1231133a280
131825c8000
14c8824288
157bad7583
hex4f3fec00

1329589248 has 176 divisors, whose sum is σ = 3858513120. Its totient is φ = 407027712.

The previous prime is 1329589237. The next prime is 1329589279. The reversal of 1329589248 is 8429859231.

It is a self number, because there is not a number n which added to its sum of digits gives 1329589248.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6749086 + ... + 6749282.

It is an arithmetic number, because the mean of its divisors is an integer number (21923370).

Almost surely, 21329589248 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 1329589248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929256560).

1329589248 is an abundant number, since it is smaller than the sum of its proper divisors (2528923872).

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

1329589248 is an equidigital number, since it uses as much as digits as its factorization.

1329589248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 215 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 1329589248 is about 36463.5331255763. The cubic root of 1329589248 is about 1099.6112256966.

The spelling of 1329589248 in words is "one billion, three hundred twenty-nine million, five hundred eighty-nine thousand, two hundred forty-eight".