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4108640424 = 2337293532389
BaseRepresentation
bin1111010011100100…
…1110000010101000
3101121100010120002120
43310321032002220
531403302443144
61515410231240
7203546603340
oct36471160250
911540116076
104108640424
1118192473a9
12967b85520
1350629bca5
142ad953d20
15190a84e19
hexf4e4e0a8

4108640424 has 128 divisors (see below), whose sum is σ = 12183264000. Its totient is φ = 1129734144.

The previous prime is 4108640423. The next prime is 4108640447. The reversal of 4108640424 is 4240468014.

It is a super-2 number, since 2×41086404242 = 33761852267453799552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4108640423) 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, 1718622 + ... + 1721010.

It is an arithmetic number, because the mean of its divisors is an integer number (95181750).

Almost surely, 24108640424 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 4108640424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091632000).

4108640424 is an abundant number, since it is smaller than the sum of its proper divisors (8074623576).

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

4108640424 is a wasteful number, since it uses less digits than its factorization.

4108640424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 4108640424 is about 64098.6772406420. The cubic root of 4108640424 is about 1601.6441983453.

The spelling of 4108640424 in words is "four billion, one hundred eight million, six hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 353 406 609 696 706 812 1059 1218 1412 1624 2118 2389 2436 2471 2824 4236 4778 4872 4942 7167 7413 8472 9556 9884 10237 14334 14826 16723 19112 19768 20474 28668 29652 30711 33446 40948 50169 57336 59304 61422 66892 69281 71659 81896 100338 122844 133784 138562 143318 200676 207843 214977 245688 277124 286636 401352 415686 429954 484967 554248 573272 831372 843317 859908 969934 1454901 1662744 1686634 1719816 1939868 2529951 2909802 3373268 3879736 5059902 5819604 5903219 6746536 10119804 11639208 11806438 17709657 20239608 23612876 24456193 35419314 47225752 48912386 70838628 73368579 97824772 141677256 146737158 171193351 195649544 293474316 342386702 513580053 586948632 684773404 1027160106 1369546808 2054320212 4108640424