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42543100 = 22522353349
BaseRepresentation
bin1010001001001…
…0011111111100
32222001102011101
42202102133330
541342334400
64115502444
71024416235
oct242223774
988042141
1042543100
1122018296
12122b7a24
138a77242
14591608c
153b0556a
hex28927fc

42543100 has 72 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 15924480.

The previous prime is 42543097. The next prime is 42543101. The reversal of 42543100 is 134524.

It is a super-2 number, since 2×425431002 = 3619830715220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42543101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121726 + ... + 122074.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 242543100 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 42543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49215600).

42543100 is an abundant number, since it is smaller than the sum of its proper divisors (55888100).

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

42543100 is a wasteful number, since it uses less digits than its factorization.

42543100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42543100 is about 6522.5071866576. The cubic root of 42543100 is about 349.0945302671.

Adding to 42543100 its reverse (134524), we get a palindrome (42677624).

The spelling of 42543100 in words is "forty-two million, five hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 212 230 265 349 460 530 575 698 1060 1150 1219 1325 1396 1745 2300 2438 2650 3490 4876 5300 6095 6980 8027 8725 12190 16054 17450 18497 24380 30475 32108 34900 36994 40135 60950 73988 80270 92485 121900 160540 184970 200675 369940 401350 425431 462425 802700 850862 924850 1701724 1849700 2127155 4254310 8508620 10635775 21271550 42543100