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204485544 = 23322840077
BaseRepresentation
bin11000011000000…
…11001110101000
3112020202221102200
430030003032220
5404322014134
632142500200
75032045524
oct1414031650
9466687380
10204485544
11a547701a
1258594660
1333497b83
141d22cd84
1512e43499
hexc3033a8

204485544 has 24 divisors (see below), whose sum is σ = 553815210. Its totient is φ = 68161824.

The previous prime is 204485531. The next prime is 204485587. The reversal of 204485544 is 445584402.

It can be written as a sum of positive squares in only one way, i.e., 194937444 + 9548100 = 13962^2 + 3090^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 204485499 and 204485508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1419967 + ... + 1420110.

Almost surely, 2204485544 is an apocalyptic number.

204485544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204485544 is an abundant number, since it is smaller than the sum of its proper divisors (349329666).

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

204485544 is a wasteful number, since it uses less digits than its factorization.

204485544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840089 (or 2840082 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 204485544 is about 14299.8441949554. The cubic root of 204485544 is about 589.1432014415.

The spelling of 204485544 in words is "two hundred four million, four hundred eighty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2840077 5680154 8520231 11360308 17040462 22720616 25560693 34080924 51121386 68161848 102242772 204485544