Search a number
-
+
4240571040 = 253252944841
BaseRepresentation
bin1111110011000001…
…1111101010100000
3101221112101022212200
43330300133222200
532141041233130
61540442053200
7210041154606
oct37460375240
911845338780
104240571040
111886767872
129a41aa200
13527712444
142c3297876
1519c445760
hexfcc1faa0

4240571040 has 72 divisors (see below), whose sum is σ = 14470953588. Its totient is φ = 1130818560.

The previous prime is 4240571017. The next prime is 4240571057. The reversal of 4240571040 is 401750424.

It can be written as a sum of positive squares in 2 ways, for example, as 4197484944 + 43086096 = 64788^2 + 6564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4240570995 and 4240571013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1470981 + ... + 1473860.

Almost surely, 24240571040 is an apocalyptic number.

4240571040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240571040 is an abundant number, since it is smaller than the sum of its proper divisors (10230382548).

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

4240571040 is a wasteful number, since it uses less digits than its factorization.

4240571040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944862 (or 2944851 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4240571040 is about 65119.6670753160. The cubic root of 4240571040 is about 1618.6071246517.

The spelling of 4240571040 in words is "four billion, two hundred forty million, five hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2944841 5889682 8834523 11779364 14724205 17669046 23558728 26503569 29448410 35338092 44172615 47117456 53007138 58896820 70676184 88345230 94234912 106014276 117793640 132517845 141352368 176690460 212028552 235587280 265035690 282704736 353380920 424057104 471174560 530071380 706761840 848114208 1060142760 1413523680 2120285520 4240571040