Search a number
-
+
4272644040 = 2335747108223
BaseRepresentation
bin1111111010101011…
…0101111111001000
3102000202201210202120
43332222311333020
532222244102130
61543545331240
7210610606110
oct37652657710
912022653676
104272644040
1118a2883785
129b2a96b20
13531261b52
142c7646040
151a017d910
hexfeab5fc8

4272644040 has 128 divisors (see below), whose sum is σ = 14960885760. Its totient is φ = 955816704.

The previous prime is 4272643997. The next prime is 4272644041. The reversal of 4272644040 is 404462724.

It is a junction number, because it is equal to n+sod(n) for n = 4272643992 and 4272644010.

It is not an unprimeable number, because it can be changed into a prime (4272644041) 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, 14632 + ... + 93591.

It is an arithmetic number, because the mean of its divisors is an integer number (116881920).

Almost surely, 24272644040 is an apocalyptic number.

4272644040 is a gapful number since it is divisible by the number (40) 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 4272644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480442880).

4272644040 is an abundant number, since it is smaller than the sum of its proper divisors (10688241720).

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

4272644040 is a wasteful number, since it uses less digits than its factorization.

4272644040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108291 (or 108287 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 4272644040 is about 65365.4651937856. The cubic root of 4272644040 is about 1622.6775868987.

The spelling of 4272644040 in words is "four billion, two hundred seventy-two million, six hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 108223 216446 324669 432892 541115 649338 757561 865784 1082230 1298676 1515122 1623345 2164460 2272683 2597352 3030244 3246690 3787805 4328920 4545366 5086481 6060488 6493380 7575610 9090732 10172962 11363415 12986760 15151220 15259443 18181464 20345924 22726830 25432405 30302440 30518886 35605367 40691848 45453660 50864810 61037772 71210734 76297215 90907320 101729620 106816101 122075544 142421468 152594430 178026835 203459240 213632202 284842936 305188860 356053670 427264404 534080505 610377720 712107340 854528808 1068161010 1424214680 2136322020 4272644040