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204382152 = 233213218357
BaseRepresentation
bin11000010111010…
…01111111001000
3112020120200121100
430023221333020
5404310212102
632140341400
75031135222
oct1413517710
9466520540
10204382152
11a5406377
1258544860
133345cab0
141d203412
1512e22a1c
hexc2e9fc8

204382152 has 48 divisors (see below), whose sum is σ = 596117340. Its totient is φ = 62886528.

The previous prime is 204382133. The next prime is 204382153. The reversal of 204382152 is 251283402.

It can be written as a sum of positive squares in 2 ways, for example, as 185667876 + 18714276 = 13626^2 + 4326^2 .

It is a super-2 number, since 2×2043821522 = 83544128112302208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204382153) 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, 108243 + ... + 110114.

Almost surely, 2204382152 is an apocalyptic number.

It is an amenable number.

204382152 is an abundant number, since it is smaller than the sum of its proper divisors (391735188).

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

204382152 is a wasteful number, since it uses less digits than its factorization.

204382152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218382 (or 218375 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 204382152 is about 14296.2285935837. The cubic root of 204382152 is about 589.0438904880.

The spelling of 204382152 in words is "two hundred four million, three hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 218357 436714 655071 873428 1310142 1746856 1965213 2620284 2838641 3930426 5240568 5677282 7860852 8515923 11354564 15721704 17031846 22709128 25547769 34063692 51095538 68127384 102191076 204382152