Search a number
-
+
42771660 = 223517192207
BaseRepresentation
bin1010001100101…
…0010011001100
32222111000200120
42203022103030
541422143120
64124424540
71026360501
oct243122314
988430616
1042771660
1122163a88
12123a8150
138b27299
1459754a8
153b4d140
hex28ca4cc

42771660 has 96 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 10165248.

The previous prime is 42771653. The next prime is 42771671. The reversal of 42771660 is 6617724.

42771660 = 21762 + 21772 + ... + 21842.

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 31 ways as a sum of consecutive naturals, for example, 18277 + ... + 20483.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 242771660 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 42771660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

42771660 is an abundant number, since it is smaller than the sum of its proper divisors (90768180).

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

42771660 is a wasteful number, since it uses less digits than its factorization.

42771660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 42771660 is about 6540.0045871544. The cubic root of 42771660 is about 349.7185764983.

The spelling of 42771660 in words is "forty-two million, seven hundred seventy-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 2207 3230 3876 4414 4845 6460 6621 8828 9690 11035 13242 19380 22070 26484 33105 37519 41933 44140 66210 75038 83866 112557 125799 132420 150076 167732 187595 209665 225114 251598 375190 419330 450228 503196 562785 628995 712861 750380 838660 1125570 1257990 1425722 2138583 2251140 2515980 2851444 3564305 4277166 7128610 8554332 10692915 14257220 21385830 42771660