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2928960072 = 233240680001
BaseRepresentation
bin1010111010010100…
…0110001001001000
321120010100120212200
42232211012021020
521444303210242
61202345440200
7132403515123
oct25645061110
97503316780
102928960072
11127335a065
12698aa0060
13378a7058c
141dadd33ba
1512221004c
hexae946248

2928960072 has 24 divisors (see below), whose sum is σ = 7932600390. Its totient is φ = 976320000.

The previous prime is 2928960019. The next prime is 2928960077. The reversal of 2928960072 is 2700698292.

It can be written as a sum of positive squares in only one way, i.e., 2355549156 + 573410916 = 48534^2 + 23946^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2928960077) 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 5 ways as a sum of consecutive naturals, for example, 20339929 + ... + 20340072.

Almost surely, 22928960072 is an apocalyptic number.

It is an amenable number.

2928960072 is an abundant number, since it is smaller than the sum of its proper divisors (5003640318).

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

2928960072 is a wasteful number, since it uses less digits than its factorization.

2928960072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40680013 (or 40680006 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2928960072 is about 54119.8676273326. The cubic root of 2928960072 is about 1430.7743653435.

The spelling of 2928960072 in words is "two billion, nine hundred twenty-eight million, nine hundred sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 40680001 81360002 122040003 162720004 244080006 325440008 366120009 488160012 732240018 976320024 1464480036 2928960072