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2000082832 = 241119335879
BaseRepresentation
bin111011100110110…
…1101011110010000
312011101111201211221
41313031231132100
513044010122312
6530244414424
7100364265166
oct16715553620
95141451757
102000082832
11936aa3920
124799a7414
1325b4a5c87
1414d8bb236
15ba8cc207
hex7736d790

2000082832 has 40 divisors (see below), whose sum is σ = 4230354240. Its totient is φ = 908503680.

The previous prime is 2000082811. The next prime is 2000082863. The reversal of 2000082832 is 2382800002.

It is a super-2 number, since 2×20000828322 = 8000662669722280448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000082797 and 2000082806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337269 + ... + 343147.

It is an arithmetic number, because the mean of its divisors is an integer number (105758856).

Almost surely, 22000082832 is an apocalyptic number.

2000082832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2000082832 is an abundant number, since it is smaller than the sum of its proper divisors (2230271408).

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

2000082832 is a wasteful number, since it uses less digits than its factorization.

2000082832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2000082832 is about 44722.2856303208. The cubic root of 2000082832 is about 1259.9384432848.

Adding to 2000082832 its reverse (2382800002), we get a palindrome (4382882834).

The spelling of 2000082832 in words is "two billion, eighty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 1933 3866 5879 7732 11758 15464 21263 23516 30928 42526 47032 64669 85052 94064 129338 170104 258676 340208 517352 1034704 11364107 22728214 45456428 90912856 125005177 181825712 250010354 500020708 1000041416 2000082832