Search a number
-
+
42876108 = 223311217193
BaseRepresentation
bin1010001110001…
…1110011001100
32222200022222000
42203203303030
541434013413
64130552300
71030304142
oct243436314
988608860
1042876108
1122225500
1212438690
138b629a2
1459a1592
153b6e073
hex28e3ccc

42876108 has 144 divisors (see below), whose sum is σ = 130042080. Its totient is φ = 12165120.

The previous prime is 42876083. The next prime is 42876109. The reversal of 42876108 is 80167824.

42876108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3 and base 11.

It is not an unprimeable number, because it can be changed into a prime (42876109) 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 47 ways as a sum of consecutive naturals, for example, 222060 + ... + 222252.

It is an arithmetic number, because the mean of its divisors is an integer number (903070).

Almost surely, 242876108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42876108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65021040).

42876108 is an abundant number, since it is smaller than the sum of its proper divisors (87165972).

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

42876108 is a wasteful number, since it uses less digits than its factorization.

42876108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 42876108 is about 6547.9850335809. The cubic root of 42876108 is about 350.0030149400.

The spelling of 42876108 in words is "forty-two million, eight hundred seventy-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 121 132 153 187 193 198 204 242 297 306 363 374 386 396 459 484 561 579 594 612 726 748 772 918 1089 1122 1158 1188 1452 1683 1737 1836 2057 2123 2178 2244 2316 3267 3281 3366 3474 4114 4246 4356 5049 5211 6171 6369 6534 6562 6732 6948 8228 8492 9843 10098 10422 12342 12738 13068 13124 18513 19107 19686 20196 20844 23353 24684 25476 29529 36091 37026 38214 39372 46706 55539 57321 59058 70059 72182 74052 76428 88587 93412 108273 111078 114642 118116 140118 144364 177174 210177 216546 222156 229284 280236 324819 354348 397001 420354 433092 630531 649638 794002 840708 974457 1191003 1261062 1299276 1588004 1948914 2382006 2522124 3573009 3897828 4764012 7146018 10719027 14292036 21438054 42876108