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2004934428 = 223277956089
BaseRepresentation
bin111011110000000…
…1101111100011100
312011201122012222200
41313200031330130
513101230400203
6530540411500
7100453442610
oct16740157434
95151565880
102004934428
11939807a02
1247b546b90
1325c4b4343
141503c1340
15bb0399a3
hex7780df1c

2004934428 has 36 divisors (see below), whose sum is σ = 5792033520. Its totient is φ = 572838336.

The previous prime is 2004934411. The next prime is 2004934439. The reversal of 2004934428 is 8244394002.

2004934428 is a `hidden beast` number, since 200 + 4 + 9 + 3 + 442 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2004934392 and 2004934401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3977793 + ... + 3978296.

It is an arithmetic number, because the mean of its divisors is an integer number (160889820).

Almost surely, 22004934428 is an apocalyptic number.

2004934428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2004934428 is an abundant number, since it is smaller than the sum of its proper divisors (3787099092).

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

2004934428 is a wasteful number, since it uses less digits than its factorization.

2004934428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956106 (or 7956101 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2004934428 is about 44776.4941459244. The cubic root of 2004934428 is about 1260.9563638651.

The spelling of 2004934428 in words is "two billion, four million, nine hundred thirty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 7956089 15912178 23868267 31824356 47736534 55692623 71604801 95473068 111385246 143209602 167077869 222770492 286419204 334155738 501233607 668311476 1002467214 2004934428