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4438916240 = 2451117296719
BaseRepresentation
bin1000010001001010…
…00111110010010000
3102110100121022100012
410020211013302100
533042330304430
62012245214052
7215000110523
oct41045076220
912410538305
104438916240
11197871a520
12a3a701328
1355983a475
14301768bba
151aea74695
hex108947c90

4438916240 has 80 divisors (see below), whose sum is σ = 11921022720. Its totient is φ = 1519196160.

The previous prime is 4438916201. The next prime is 4438916243. The reversal of 4438916240 is 426198344.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4438916243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133400 + ... + 163319.

It is an arithmetic number, because the mean of its divisors is an integer number (149012784).

Almost surely, 24438916240 is an apocalyptic number.

4438916240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4438916240 is an abundant number, since it is smaller than the sum of its proper divisors (7482106480).

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

4438916240 is a wasteful number, since it uses less digits than its factorization.

4438916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296760 (or 296754 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 4438916240 is about 66625.1922323681. The cubic root of 4438916240 is about 1643.4594138264.

The spelling of 4438916240 in words is "four billion, four hundred thirty-eight million, nine hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 296719 593438 1186876 1483595 2373752 2967190 3263909 4747504 5044223 5934380 6527818 10088446 11868760 13055636 16319545 20176892 23737520 25221115 26111272 32639090 40353784 50442230 52222544 55486453 65278180 80707568 100884460 110972906 130556360 201768920 221945812 261112720 277432265 403537840 443891624 554864530 887783248 1109729060 2219458120 4438916240