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42881670 = 23351319643
BaseRepresentation
bin1010001110010…
…1001010000110
32222200121121000
42203211022012
541434203140
64131034130
71030326306
oct243451206
988617530
1042881670
11222296a7
121243b946
138b65390
1459a3606
153b70a30
hex28e5286

42881670 has 128 divisors (see below), whose sum is σ = 129830400. Its totient is φ = 9984384.

The previous prime is 42881659. The next prime is 42881687. The reversal of 42881670 is 7618824.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66369 + ... + 67011.

It is an arithmetic number, because the mean of its divisors is an integer number (1014300).

Almost surely, 242881670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42881670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64915200).

42881670 is an abundant number, since it is smaller than the sum of its proper divisors (86948730).

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

42881670 is a wasteful number, since it uses less digits than its factorization.

42881670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

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

The square root of 42881670 is about 6548.4097306140. The cubic root of 42881670 is about 350.0181487188.

The spelling of 42881670 in words is "forty-two million, eight hundred eighty-one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 90 95 114 117 130 135 171 190 195 234 247 270 285 342 351 390 494 513 570 585 643 702 741 855 1026 1170 1235 1286 1482 1710 1755 1929 2223 2470 2565 3215 3510 3705 3858 4446 5130 5787 6430 6669 7410 8359 9645 11115 11574 12217 13338 16718 17361 19290 22230 24434 25077 28935 33345 34722 36651 41795 50154 57870 61085 66690 73302 75231 83590 86805 109953 122170 125385 150462 158821 173610 183255 219906 225693 250770 317642 329859 366510 376155 451386 476463 549765 659718 752310 794105 952926 1099530 1128465 1429389 1588210 1649295 2256930 2382315 2858778 3298590 4288167 4764630 7146945 8576334 14293890 21440835 42881670