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18413901 = 3211237457
BaseRepresentation
bin100011000111…
…1100101001101
31021122112010100
41012033211031
514203221101
61454401313
7312341562
oct106174515
937575110
1018413901
11a437700
126200239
133a794cc
142634869
15193ae86
hex118f94d

18413901 has 36 divisors (see below), whose sum is σ = 30091516. Its totient is φ = 10834560.

The previous prime is 18413897. The next prime is 18413903. The reversal of 18413901 is 10931481.

It can be written as a sum of positive squares in 2 ways, for example, as 16208676 + 2205225 = 4026^2 + 1485^2 .

It is not a de Polignac number, because 18413901 - 22 = 18413897 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18413903) 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 35 ways as a sum of consecutive naturals, for example, 40065 + ... + 40521.

Almost surely, 218413901 is an apocalyptic number.

18413901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18413901 is a deficient number, since it is larger than the sum of its proper divisors (11677615).

18413901 is a wasteful number, since it uses less digits than its factorization.

18413901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 18413901 is about 4291.1421556504. The cubic root of 18413901 is about 264.0676909755.

The spelling of 18413901 in words is "eighteen million, four hundred thirteen thousand, nine hundred one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 457 1089 1221 1371 3663 4113 4477 5027 13431 15081 16909 40293 45243 50727 55297 152181 165891 185999 497673 557997 1673991 2045989 6137967 18413901