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18772929 = 327242569
BaseRepresentation
bin100011110011…
…1001111000001
31022022202121200
41013213033001
514301213204
61510211413
7315365400
oct107471701
938282550
1018772929
11a66241a
126353b69
133b73a56
1426c9637
1519ac539
hex11e73c1

18772929 has 18 divisors (see below), whose sum is σ = 31544370. Its totient is φ = 10727136.

The previous prime is 18772927. The next prime is 18772937. The reversal of 18772929 is 92927781.

It can be written as a sum of positive squares in only one way, i.e., 15586704 + 3186225 = 3948^2 + 1785^2 .

It is not a de Polignac number, because 18772929 - 21 = 18772927 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18772927) 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 17 ways as a sum of consecutive naturals, for example, 20844 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (1752465).

Almost surely, 218772929 is an apocalyptic number.

It is an amenable number.

18772929 is a deficient number, since it is larger than the sum of its proper divisors (12771441).

18772929 is a wasteful number, since it uses less digits than its factorization.

18772929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42589 (or 42579 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 18772929 is about 4332.7738228530. The cubic root of 18772929 is about 265.7728901755.

It can be divided in two parts, 18772 and 929, that added together give a triangular number (19701 = T198).

The spelling of 18772929 in words is "eighteen million, seven hundred seventy-two thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 42569 127707 297983 383121 893949 2085881 2681847 6257643 18772929