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42866824 = 237111353101
BaseRepresentation
bin1010001110000…
…1100010001000
32222122212020011
42203201202020
541433214244
64130441304
71030235110
oct243414210
988585204
1042866824
1122219530
1212433234
138b5b6b0
14599c040
153b6b434
hex28e1888

42866824 has 128 divisors (see below), whose sum is σ = 111041280. Its totient is φ = 14976000.

The previous prime is 42866819. The next prime is 42866827.

42866824 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42866827) 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, 424374 + ... + 424474.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 242866824 is an apocalyptic number.

42866824 is a gapful number since it is divisible by the number (44) 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 42866824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55520640).

42866824 is an abundant number, since it is smaller than the sum of its proper divisors (68174456).

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

42866824 is a wasteful number, since it uses less digits than its factorization.

42866824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 42866824 is about 6547.2760748268. The cubic root of 42866824 is about 349.9777509666.

The spelling of 42866824 in words is "forty-two million, eight hundred sixty-six thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 53 56 77 88 91 101 104 106 143 154 182 202 212 286 308 364 371 404 424 572 583 616 689 707 728 742 808 1001 1111 1144 1166 1313 1378 1414 1484 2002 2222 2332 2626 2756 2828 2968 4004 4081 4444 4664 4823 5252 5353 5512 5656 7579 7777 8008 8162 8888 9191 9646 10504 10706 14443 15158 15554 16324 18382 19292 21412 28886 30316 31108 32648 36764 37471 38584 42824 53053 57772 58883 60632 62216 69589 73528 74942 101101 106106 115544 117766 139178 149884 202202 212212 235532 278356 299768 404404 412181 424424 471064 487123 556712 765479 808808 824362 974246 1530958 1648724 1948492 3061916 3297448 3896984 5358353 6123832 10716706 21433412 42866824