Search a number
-
+
42771600 = 2432521092
BaseRepresentation
bin1010001100101…
…0010010010000
32222111000121100
42203022102100
541422142400
64124424400
71026360354
oct243122220
988430540
1042771600
1122163a33
12123a8100
138b27251
145975464
153b4d100
hex28ca490

42771600 has 135 divisors (see below), whose sum is σ = 149803563. Its totient is φ = 11301120.

The previous prime is 42771587. The next prime is 42771601. The reversal of 42771600 is 617724.

It can be divided in two parts, 427 and 71600, that added together give a palindrome (72027).

The square root of 42771600 is 6540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 42614784 = 396^2 + 6528^2 .

It is not an unprimeable number, because it can be changed into a prime (42771601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 392346 + ... + 392454.

Almost surely, 242771600 is an apocalyptic number.

42771600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42771600 is the 6540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42771600

42771600 is an abundant number, since it is smaller than the sum of its proper divisors (107031963).

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

42771600 is a wasteful number, since it uses less digits than its factorization.

42771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The cubic root of 42771600 is about 349.7184129701.

The spelling of 42771600 in words is "forty-two million, seven hundred seventy-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 109 120 144 150 180 200 218 225 240 300 327 360 400 436 450 545 600 654 720 872 900 981 1090 1200 1308 1635 1744 1800 1962 2180 2616 2725 3270 3600 3924 4360 4905 5232 5450 6540 7848 8175 8720 9810 10900 11881 13080 15696 16350 19620 21800 23762 24525 26160 32700 35643 39240 43600 47524 49050 59405 65400 71286 78480 95048 98100 106929 118810 130800 142572 178215 190096 196200 213858 237620 285144 297025 356430 392400 427716 475240 534645 570288 594050 712860 855432 891075 950480 1069290 1188100 1425720 1710864 1782150 2138580 2376200 2673225 2851440 3564300 4277160 4752400 5346450 7128600 8554320 10692900 14257200 21385800 42771600