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18742941 = 337231457
BaseRepresentation
bin100011101111…
…1111010011101
31022021020111000
41013133322131
514244233231
61505420513
7315212100
oct107377235
938236430
1018742941
11a641938
12633a739
133b631c9
1426bc737
1519a36e6
hex11dfe9d

18742941 has 48 divisors (see below), whose sum is σ = 33415680. Its totient is φ = 10342080.

The previous prime is 18742909. The next prime is 18742957. The reversal of 18742941 is 14924781.

It is not a de Polignac number, because 18742941 - 25 = 18742909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18742896 and 18742905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18742901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40785 + ... + 41241.

It is an arithmetic number, because the mean of its divisors is an integer number (696160).

Almost surely, 218742941 is an apocalyptic number.

It is an amenable number.

18742941 is a deficient number, since it is larger than the sum of its proper divisors (14672739).

18742941 is a wasteful number, since it uses less digits than its factorization.

18742941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18742941 is about 4329.3118390802. The cubic root of 18742941 is about 265.6312989694.

It can be divided in two parts, 18742 and 941, that added together give a 9-th power (19683 = 39).

The spelling of 18742941 in words is "eighteen million, seven hundred forty-two thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 27 31 49 63 93 147 189 217 279 441 457 651 837 1323 1371 1519 1953 3199 4113 4557 5859 9597 12339 13671 14167 22393 28791 41013 42501 67179 86373 99169 127503 201537 297507 382509 604611 694183 892521 2082549 2677563 6247647 18742941