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204011628 = 223175318869
BaseRepresentation
bin11000010100011…
…11100001101100
3112012212212100020
430022033201230
5404211333003
632124402140
75025033042
oct1412174154
9465785306
10204011628
11a5182a57
12583a6350
1333360252
141d148392
1512d9cd53
hexc28f86c

204011628 has 48 divisors (see below), whose sum is σ = 513565920. Its totient is φ = 62792704.

The previous prime is 204011627. The next prime is 204011629. The reversal of 204011628 is 826110402.

It is an interprime number because it is at equal distance from previous prime (204011627) and next prime (204011629).

It is a junction number, because it is equal to n+sod(n) for n = 204011598 and 204011607.

It is not an unprimeable number, because it can be changed into a prime (204011627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378 + ... + 20246.

It is an arithmetic number, because the mean of its divisors is an integer number (10699290).

Almost surely, 2204011628 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 204011628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256782960).

204011628 is an abundant number, since it is smaller than the sum of its proper divisors (309554292).

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

204011628 is a wasteful number, since it uses less digits than its factorization.

204011628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18946 (or 18944 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 204011628 is about 14283.2639127057. The cubic root of 204011628 is about 588.6877163299.

The spelling of 204011628 in words is "two hundred four million, eleven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1802 2703 3604 5406 10812 18869 37738 56607 75476 113214 226428 320773 641546 962319 1000057 1283092 1924638 2000114 3000171 3849276 4000228 6000342 12000684 17000969 34001938 51002907 68003876 102005814 204011628