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204672461 = 7210938321
BaseRepresentation
bin11000011001100…
…00110111001101
3112021010102211112
430030300313031
5404344004321
632150501405
75033454500
oct1414606715
9467112745
10204672461
11a55944a4
1258664865
1333531c86
141d27b137
1512e7da5b
hexc330dcd

204672461 has 12 divisors (see below), whose sum is σ = 240278940. Its totient is φ = 173819520.

The previous prime is 204672449. The next prime is 204672467. The reversal of 204672461 is 164276402.

204672461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134699236 + 69973225 = 11606^2 + 8365^2 .

It is not a de Polignac number, because 204672461 - 210 = 204671437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204672467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13820 + ... + 24501.

It is an arithmetic number, because the mean of its divisors is an integer number (20023245).

Almost surely, 2204672461 is an apocalyptic number.

It is an amenable number.

204672461 is a deficient number, since it is larger than the sum of its proper divisors (35606479).

204672461 is a wasteful number, since it uses less digits than its factorization.

204672461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38444 (or 38437 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 204672461 is about 14306.3783327577. The cubic root of 204672461 is about 589.3226555998.

The spelling of 204672461 in words is "two hundred four million, six hundred seventy-two thousand, four hundred sixty-one".

Divisors: 1 7 49 109 763 5341 38321 268247 1877729 4176989 29238923 204672461