Search a number
-
+
2928008292 = 2231124192041
BaseRepresentation
bin1010111010000101…
…1101110001100100
321120001120020021120
42232201131301210
521444032231132
61202313213540
7132362442216
oct25641356144
97501506246
102928008292
111272869a70
126987012b0
133787c92b1
141dac265b6
151220c302c
hexae85dc64

2928008292 has 48 divisors (see below), whose sum is σ = 7484119104. Its totient is φ = 883584000.

The previous prime is 2928008227. The next prime is 2928008297.

2928008292 is nontrivially palindromic in base 10.

2928008292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×29280082923 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2928008297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14209 + ... + 77832.

It is an arithmetic number, because the mean of its divisors is an integer number (155919148).

Almost surely, 22928008292 is an apocalyptic number.

2928008292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2928008292 is an abundant number, since it is smaller than the sum of its proper divisors (4556110812).

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

2928008292 is a wasteful number, since it uses less digits than its factorization.

2928008292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92300 (or 92298 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2928008292 is about 54111.0736541052. The cubic root of 2928008292 is about 1430.6193694946.

The spelling of 2928008292 in words is "two billion, nine hundred twenty-eight million, eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 482 723 964 1446 2651 2892 5302 7953 10604 15906 31812 92041 184082 276123 368164 552246 1012451 1104492 2024902 3037353 4049804 6074706 12149412 22181881 44363762 66545643 88727524 133091286 244000691 266182572 488001382 732002073 976002764 1464004146 2928008292