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4884416628 = 22372135691123
BaseRepresentation
bin1001000110010001…
…00100100001110100
3110121101220001222120
410203020210201310
540000402313003
62124401555540
7232016566500
oct44310444164
913541801876
104884416628
112087142563
12b43945bb0
135cac20070
143449b5300
151d8c24853
hex123224874

4884416628 has 144 divisors (see below), whose sum is σ = 14315353920. Its totient is φ = 1284788736.

The previous prime is 4884416627. The next prime is 4884416653. The reversal of 4884416628 is 8266144884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4884416623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4348875 + ... + 4349997.

It is an arithmetic number, because the mean of its divisors is an integer number (99412180).

Almost surely, 24884416628 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 4884416628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157676960).

4884416628 is an abundant number, since it is smaller than the sum of its proper divisors (9430937292).

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

4884416628 is a wasteful number, since it uses less digits than its factorization.

4884416628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1717 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 4884416628 is about 69888.6015599110. The cubic root of 4884416628 is about 1696.6967723584.

The spelling of 4884416628 in words is "four billion, eight hundred eighty-four million, four hundred sixteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 569 588 637 1092 1123 1138 1274 1707 1911 2246 2276 2548 3369 3414 3822 3983 4492 6738 6828 7397 7644 7861 7966 11949 13476 14599 14794 15722 15932 22191 23583 23898 27881 29198 29588 31444 43797 44382 47166 47796 51779 55027 55762 58396 83643 87594 88764 94332 102193 103558 110054 111524 155337 165081 167286 175188 204386 207116 220108 306579 310674 330162 334572 362453 408772 613158 621348 638987 660324 715351 724906 1087359 1226316 1277974 1430702 1449812 1916961 2146053 2174718 2555948 2861404 3833922 4292106 4349436 4472909 7667844 8306831 8584212 8945818 13418727 16613662 17891636 24920493 26837454 31310363 33227324 49840986 53674908 58147817 62620726 93931089 99681972 116295634 125241452 174443451 187862178 232591268 348886902 375724356 407034719 697773804 814069438 1221104157 1628138876 2442208314 4884416628