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42154203 = 37131731293
BaseRepresentation
bin1010000011001…
…1100011011011
32221022122200210
42200303203123
541242413303
64103302203
71021206360
oct240634333
987278623
1042154203
1121882093
121214a963
13896c220
145854467
153a7a203
hex28338db

42154203 has 64 divisors (see below), whose sum is σ = 75866112. Its totient is φ = 20183040.

The previous prime is 42154187. The next prime is 42154219. The reversal of 42154203 is 30245124.

42154203 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42154187) and next prime (42154219).

It is not a de Polignac number, because 42154203 - 24 = 42154187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 42154203.

It is not an unprimeable number, because it can be changed into a prime (42154223) 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 63 ways as a sum of consecutive naturals, for example, 143725 + ... + 144017.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 242154203 is an apocalyptic number.

42154203 is a deficient number, since it is larger than the sum of its proper divisors (33711909).

42154203 is a wasteful number, since it uses less digits than its factorization.

42154203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42154203 is about 6492.6268181684. The cubic root of 42154203 is about 348.0275526474.

Adding to 42154203 its reverse (30245124), we get a palindrome (72399327).

The spelling of 42154203 in words is "forty-two million, one hundred fifty-four thousand, two hundred three".

Divisors: 1 3 7 13 17 21 31 39 51 91 93 119 217 221 273 293 357 403 527 651 663 879 1209 1547 1581 2051 2821 3689 3809 4641 4981 6153 6851 8463 9083 11067 11427 14943 20553 26663 27249 34867 47957 63581 64753 79989 104601 118079 143871 154411 190743 194259 354237 453271 463233 826553 1080877 1359813 2007343 2479659 3242631 6022029 14051401 42154203