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204607424 = 2671572909
BaseRepresentation
bin11000011001000…
…00111111000000
3112021000010121202
430030200333000
5404334414144
632145240332
75033064050
oct1414407700
9467003552
10204607424
11a554a64a
12586330a8
133350b4a8
141d261560
1512e6964e
hexc320fc0

204607424 has 56 divisors (see below), whose sum is σ = 467136480. Its totient is φ = 87100416.

The previous prime is 204607411. The next prime is 204607451. The reversal of 204607424 is 424706402.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 68882 + ... + 71790.

Almost surely, 2204607424 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 204607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233568240).

204607424 is an abundant number, since it is smaller than the sum of its proper divisors (262529056).

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

204607424 is a wasteful number, since it uses less digits than its factorization.

204607424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 204607424 is about 14304.1051450274. The cubic root of 204607424 is about 589.2602276636.

The spelling of 204607424 in words is "two hundred four million, six hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 157 224 314 448 628 1099 1256 2198 2512 2909 4396 5024 5818 8792 10048 11636 17584 20363 23272 35168 40726 46544 70336 81452 93088 162904 186176 325808 456713 651616 913426 1303232 1826852 3196991 3653704 6393982 7307408 12787964 14614816 25575928 29229632 51151856 102303712 204607424