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4484335128 = 2337132817307
BaseRepresentation
bin1000010110100100…
…11000011000011000
3102120112001211100020
410023102120120120
533140442211003
62020550510440
7216061135230
oct41322303030
912515054306
104484335128
1119a1321399
12a51965420
13566080650
143077cccc0
151b3a46d53
hex10b498618

4484335128 has 128 divisors (see below), whose sum is σ = 13848952320. Its totient is φ = 1178311680.

The previous prime is 4484335117. The next prime is 4484335129. The reversal of 4484335128 is 8215334844.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4484335128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4484335129) 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, 610051 + ... + 617357.

It is an arithmetic number, because the mean of its divisors is an integer number (108194940).

Almost surely, 24484335128 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 4484335128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924476160).

4484335128 is an abundant number, since it is smaller than the sum of its proper divisors (9364617192).

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

4484335128 is a wasteful number, since it uses less digits than its factorization.

4484335128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617 (or 7613 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 4484335128 is about 66965.1784735918. The cubic root of 4484335128 is about 1649.0456836004.

The spelling of 4484335128 in words is "four billion, four hundred eighty-four million, three hundred thirty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 281 312 364 546 562 728 843 1092 1124 1686 1967 2184 2248 3372 3653 3934 5901 6744 7306 7307 7868 10959 11802 14612 14614 15736 21918 21921 23604 25571 29224 29228 43836 43842 47208 51142 51149 58456 76713 87672 87684 94991 102284 102298 153426 153447 175368 189982 204568 204596 284973 306852 306894 379964 409192 569946 613704 613788 664937 759928 1139892 1227576 1329874 1994811 2053267 2279784 2659748 3989622 4106534 5319496 6159801 7979244 8213068 12319602 14372869 15958488 16426136 24639204 26692471 28745738 43118607 49278408 53384942 57491476 80077413 86237214 106769884 114982952 160154826 172474428 186847297 213539768 320309652 344948856 373694594 560541891 640619304 747389188 1121083782 1494778376 2242167564 4484335128