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42851160 = 23335113607
BaseRepresentation
bin1010001101110…
…1101101011000
32222122001202000
42203131231120
541432214120
64130241000
71030141332
oct243355530
988561660
1042851160
1122208790
1212426160
138b54521
145996452
153b66990
hex28ddb58

42851160 has 128 divisors (see below), whose sum is σ = 155865600. Its totient is φ = 10385280.

The previous prime is 42851153. The next prime is 42851161. The reversal of 42851160 is 6115824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42851161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10077 + ... + 13683.

It is an arithmetic number, because the mean of its divisors is an integer number (1217700).

Almost surely, 242851160 is an apocalyptic number.

42851160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42851160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77932800).

42851160 is an abundant number, since it is smaller than the sum of its proper divisors (113014440).

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

42851160 is a wasteful number, since it uses less digits than its factorization.

42851160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 42851160 is about 6546.0797428690. The cubic root of 42851160 is about 349.9351172245.

Adding to 42851160 its reverse (6115824), we get a palindrome (48966984).

It can be divided in two parts, 4285 and 1160, that added together give a palindrome (5445).

The spelling of 42851160 in words is "forty-two million, eight hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3607 3960 5940 7214 10821 11880 14428 18035 21642 28856 32463 36070 39677 43284 54105 64926 72140 79354 86568 97389 108210 119031 129852 144280 158708 162315 194778 198385 216420 238062 259704 317416 324630 357093 389556 396770 432840 476124 486945 595155 649260 714186 779112 793540 952248 973890 1071279 1190310 1298520 1428372 1587080 1785465 1947780 2142558 2380620 2856744 3570930 3895560 4285116 4761240 5356395 7141860 8570232 10712790 14283720 21425580 42851160