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18830052 = 22325371139
BaseRepresentation
bin100011111010…
…1001011100100
31022102122222100
41013311023210
514310030202
61511332100
7316024053
oct107651344
938378870
1018830052
11a6a132a
126381030
133b93a57
14270239a
1519be41c
hex11f52e4

18830052 has 72 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 6027840.

The previous prime is 18830047. The next prime is 18830057. The reversal of 18830052 is 25003881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18830047) and next prime (18830057).

It is a junction number, because it is equal to n+sod(n) for n = 18829998 and 18830025.

It is not an unprimeable number, because it can be changed into a prime (18830057) 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 23 ways as a sum of consecutive naturals, for example, 135399 + ... + 135537.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 218830052 is an apocalyptic number.

18830052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18830052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

18830052 is an abundant number, since it is smaller than the sum of its proper divisors (30703068).

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

18830052 is a wasteful number, since it uses less digits than its factorization.

18830052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 18830052 is about 4339.3607824195. The cubic root of 18830052 is about 266.0421852555.

The spelling of 18830052 in words is "eighteen million, eight hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 71 106 139 142 159 212 213 278 284 318 417 426 477 556 636 639 834 852 954 1251 1278 1668 1908 2502 2556 3763 5004 7367 7526 9869 11289 14734 15052 19738 22101 22578 29468 29607 33867 39476 44202 45156 59214 66303 67734 88404 88821 118428 132606 135468 177642 265212 355284 523057 1046114 1569171 2092228 3138342 4707513 6276684 9415026 18830052