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798128640 = 293551283
BaseRepresentation
bin101111100100100…
…111101000000000
32001121211010200000
4233210213220000
53113310104030
6211110400000
725530660441
oct5744475000
92047733600
10798128640
1137a582951
121a3360000
13c947918a
1477ddd2c8
154a107860
hex2f927a00

798128640 has 240 divisors, whose sum is σ = 2868753888. Its totient is φ = 212668416.

The previous prime is 798128627. The next prime is 798128647. The reversal of 798128640 is 46821897.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (798128647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621439 + ... + 622721.

Almost surely, 2798128640 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 798128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434376944).

798128640 is an abundant number, since it is smaller than the sum of its proper divisors (2070625248).

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

798128640 is an equidigital number, since it uses as much as digits as its factorization.

798128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 798128640 is about 28251.1705952161. The cubic root of 798128640 is about 927.5933612789.

The spelling of 798128640 in words is "seven hundred ninety-eight million, one hundred twenty-eight thousand, six hundred forty".