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204004801 = 71113261257
BaseRepresentation
bin11000010100011…
…01110111000001
3112012212111222101
430022031313001
5404211123201
632124310401
75025004120
oct1412156701
9465774871
10204004801
11a5178910
12583a2401
133335a100
141d145ab7
1512d9ad01
hexc28ddc1

204004801 has 48 divisors (see below), whose sum is σ = 281017728. Its totient is φ = 143769600.

The previous prime is 204004793. The next prime is 204004817. The reversal of 204004801 is 108400402.

It is not a de Polignac number, because 204004801 - 23 = 204004793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204004841) 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 47 ways as a sum of consecutive naturals, for example, 793665 + ... + 793921.

It is an arithmetic number, because the mean of its divisors is an integer number (5854536).

Almost surely, 2204004801 is an apocalyptic number.

It is an amenable number.

204004801 is a deficient number, since it is larger than the sum of its proper divisors (77012927).

204004801 is a wasteful number, since it uses less digits than its factorization.

204004801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 204004801 is about 14283.0249247140. The cubic root of 204004801 is about 588.6811496848.

The spelling of 204004801 in words is "two hundred four million, four thousand, eight hundred one".

Divisors: 1 7 11 13 61 77 91 143 169 257 427 671 793 1001 1183 1799 1859 2827 3341 4697 5551 8723 10309 13013 15677 19789 23387 36751 43433 61061 72163 109739 113399 172447 203801 257257 304031 477763 793793 1207129 1426607 2241811 2649413 3344341 15692677 18545891 29143543 204004801