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1359042048 = 29327213463
BaseRepresentation
bin101000100000001…
…0101011000000000
310111201021111012200
41101000111120000
510240403321143
6342504553200
745451444500
oct12100253000
93451244180
101359042048
11638164451
1231b182800
1318873abc0
14cc6cda00
157e4a41d3
hex51015600

1359042048 has 360 divisors, whose sum is σ = 4924247328. Its totient is φ = 357654528.

The previous prime is 1359042037. The next prime is 1359042103. The reversal of 1359042048 is 8402409531.

1359042048 is a `hidden beast` number, since 1 + 3 + 590 + 4 + 20 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2935065 + ... + 2935527.

Almost surely, 21359042048 is an apocalyptic number.

1359042048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1359042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462123664).

1359042048 is an abundant number, since it is smaller than the sum of its proper divisors (3565205280).

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

1359042048 is a wasteful number, since it uses less digits than its factorization.

1359042048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1359042048 is about 36865.1874808741. The cubic root of 1359042048 is about 1107.6714565876.

The spelling of 1359042048 in words is "one billion, three hundred fifty-nine million, forty-two thousand, forty-eight".