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42875700 = 223527171201
BaseRepresentation
bin1010001110001…
…1101100110100
32222200022101220
42203203230310
541434010300
64130550340
71030303020
oct243435464
988608356
1042875700
112222516a
12124383b0
138b6274a
1459a1380
153b6dda0
hex28e3b34

42875700 has 144 divisors (see below), whose sum is σ = 150240384. Its totient is φ = 9216000.

The previous prime is 42875699. The next prime is 42875719. The reversal of 42875700 is 757824.

42875700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 35100 + ... + 36300.

It is an arithmetic number, because the mean of its divisors is an integer number (1043336).

Almost surely, 242875700 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 42875700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75120192).

42875700 is an abundant number, since it is smaller than the sum of its proper divisors (107364684).

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

42875700 is a wasteful number, since it uses less digits than its factorization.

42875700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 42875700 is about 6547.9538788846. The cubic root of 42875700 is about 350.0019047515.

The spelling of 42875700 in words is "forty-two million, eight hundred seventy-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1201 1275 1428 1700 1785 2100 2380 2402 2550 2975 3570 3603 4804 5100 5950 6005 7140 7206 8407 8925 11900 12010 14412 16814 17850 18015 20417 24020 25221 30025 33628 35700 36030 40834 42035 50442 60050 61251 72060 81668 84070 90075 100884 102085 120100 122502 126105 142919 168140 180150 204170 210175 245004 252210 285838 306255 360300 408340 420350 428757 504420 510425 571676 612510 630525 714595 840700 857514 1020850 1225020 1261050 1429190 1531275 1715028 2041700 2143785 2522100 2858380 3062550 3572975 4287570 6125100 7145950 8575140 10718925 14291900 21437850 42875700