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18793872 = 2432130513
BaseRepresentation
bin100011110110…
…0010110010000
31022100211100100
41013230112100
514302400442
61510452400
7315513426
oct107542620
938324310
1018793872
11a677129
126364100
133b80446
1426d3116
1519b384c
hex11ec590

18793872 has 30 divisors (see below), whose sum is σ = 52597142. Its totient is φ = 6264576.

The previous prime is 18793813. The next prime is 18793877. The reversal of 18793872 is 27839781.

Added to its reverse (27839781) it gives a triangular number (46633653 = T9657).

It can be written as a sum of positive squares in only one way, i.e., 17438976 + 1354896 = 4176^2 + 1164^2 .

It is not an unprimeable number, because it can be changed into a prime (18793877) by changing a digit.

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, 65113 + ... + 65400.

Almost surely, 218793872 is an apocalyptic number.

18793872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18793872 is an abundant number, since it is smaller than the sum of its proper divisors (33803270).

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

18793872 is a wasteful number, since it uses less digits than its factorization.

18793872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130527 (or 130518 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 18793872 is about 4335.1899612358. The cubic root of 18793872 is about 265.8716851493.

Adding to 18793872 its reverse (27839781), we get a triangular number (46633653 = T9657).

The spelling of 18793872 in words is "eighteen million, seven hundred ninety-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 130513 261026 391539 522052 783078 1044104 1174617 1566156 2088208 2349234 3132312 4698468 6264624 9396936 18793872