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2001728352 = 253131603949
BaseRepresentation
bin111011101001111…
…1111001101100000
312011111121100002010
41313103333031200
513044420301402
6530343552520
7100414260501
oct16723771540
95144540063
102001728352
11937a18158
1247a45b740
1325b930c60
1414dbc8ba8
15bab04a6c
hex774ff360

2001728352 has 48 divisors (see below), whose sum is σ = 5658735600. Its totient is φ = 615916032.

The previous prime is 2001728317. The next prime is 2001728353. The reversal of 2001728352 is 2538271002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001728353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800727 + ... + 803222.

It is an arithmetic number, because the mean of its divisors is an integer number (117890325).

Almost surely, 22001728352 is an apocalyptic number.

It is an amenable number.

2001728352 is an abundant number, since it is smaller than the sum of its proper divisors (3657007248).

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

2001728352 is a wasteful number, since it uses less digits than its factorization.

2001728352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603975 (or 1603967 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2001728352 is about 44740.6789398641. The cubic root of 2001728352 is about 1260.2838765773.

Adding to 2001728352 its reverse (2538271002), we get a palindrome (4539999354).

The spelling of 2001728352 in words is "two billion, one million, seven hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1603949 3207898 4811847 6415796 9623694 12831592 19247388 20851337 25663184 38494776 41702674 51326368 62554011 76989552 83405348 125108022 153979104 166810696 250216044 333621392 500432088 667242784 1000864176 2001728352