Search a number
-
+
42881790 = 2357593461
BaseRepresentation
bin1010001110010…
…1001011111110
32222200121202110
42203211023332
541434204130
64131034450
71030326540
oct243451376
988617673
1042881790
11222297a6
121243ba26
138b65453
1459a3690
153b70ab0
hex28e52fe

42881790 has 64 divisors (see below), whose sum is σ = 119646720. Its totient is φ = 9632640.

The previous prime is 42881771. The next prime is 42881801. The reversal of 42881790 is 9718824.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10660 + ... + 14120.

It is an arithmetic number, because the mean of its divisors is an integer number (1869480).

Almost surely, 242881790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42881790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59823360).

42881790 is an abundant number, since it is smaller than the sum of its proper divisors (76764930).

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

42881790 is a wasteful number, since it uses less digits than its factorization.

42881790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537.

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 42881790 is about 6548.4188931375. The cubic root of 42881790 is about 350.0184752152.

The spelling of 42881790 in words is "forty-two million, eight hundred eighty-one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 3461 4130 6195 6922 10383 12390 17305 20766 24227 34610 48454 51915 72681 103830 121135 145362 204199 242270 363405 408398 612597 726810 1020995 1225194 1429393 2041990 2858786 3062985 4288179 6125970 7146965 8576358 14293930 21440895 42881790