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204494464 = 2710914657
BaseRepresentation
bin11000011000001…
…01011010000000
3112020210101200001
430030011122000
5404322310324
632143005344
75032113526
oct1414053200
9466711601
10204494464
11a5482799
1258599854
133349bc55
141d232316
1512e45e44
hexc305680

204494464 has 32 divisors (see below), whose sum is σ = 411156900. Its totient is φ = 101302272.

The previous prime is 204494453. The next prime is 204494467. The reversal of 204494464 is 464494402.

It can be written as a sum of positive squares in 2 ways, for example, as 164044864 + 40449600 = 12808^2 + 6360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (204494467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6624 + ... + 21280.

Almost surely, 2204494464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205578450).

204494464 is an abundant number, since it is smaller than the sum of its proper divisors (206662436).

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

204494464 is a wasteful number, since it uses less digits than its factorization.

204494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The square root of 204494464 is about 14300.1560830643. The cubic root of 204494464 is about 589.1517677861.

The spelling of 204494464 in words is "two hundred four million, four hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 13952 14657 29314 58628 117256 234512 469024 938048 1597613 1876096 3195226 6390452 12780904 25561808 51123616 102247232 204494464