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9928946424 = 2331722635443
BaseRepresentation
bin10010011111100111…
…11011001011111000
3221121222001201221110
421033303323023320
5130313302241144
64321123440320
7501022436445
oct111763731370
927558051843
109928946424
1142356a4451
121b112260a0
13c23070237
146a29489cc
153d1a250b9
hex24fcfb2f8

9928946424 has 96 divisors (see below), whose sum is σ = 26473518720. Its totient is φ = 3102549504.

The previous prime is 9928946399. The next prime is 9928946459. The reversal of 9928946424 is 4246498299.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1821447 + ... + 1826889.

It is an arithmetic number, because the mean of its divisors is an integer number (275765820).

Almost surely, 29928946424 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 9928946424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236759360).

9928946424 is an abundant number, since it is smaller than the sum of its proper divisors (16544572296).

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

9928946424 is a wasteful number, since it uses less digits than its factorization.

9928946424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5728 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The square root of 9928946424 is about 99644.0987916495. The cubic root of 9928946424 is about 2149.3198803523.

The spelling of 9928946424 in words is "nine billion, nine hundred twenty-eight million, nine hundred forty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 263 289 408 526 578 789 867 1052 1156 1578 1734 2104 2312 3156 3468 4471 5443 6312 6936 8942 10886 13413 16329 17884 21772 26826 32658 35768 43544 53652 65316 76007 92531 107304 130632 152014 185062 228021 277593 304028 370124 456042 555186 608056 740248 912084 1110372 1431509 1573027 1824168 2220744 2863018 3146054 4294527 4719081 5726036 6292108 8589054 9438162 11452072 12584216 17178108 18876324 24335653 34356216 37752648 48671306 73006959 97342612 146013918 194685224 292027836 413706101 584055672 827412202 1241118303 1654824404 2482236606 3309648808 4964473212 9928946424