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4912242160 = 245726120543
BaseRepresentation
bin1001001001100101…
…01101110111110000
3110200100020202102211
410210302231313300
540030013222120
62131234221504
7232505240500
oct44462556760
913610222384
104912242160
1120a0918271
12b51124894
13603913387
14348579a00
151db3be25a
hex124caddf0

4912242160 has 120 divisors (see below), whose sum is σ = 13504064256. Its totient is φ = 1656506880.

The previous prime is 4912242133. The next prime is 4912242163. The reversal of 4912242160 is 612422194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4912242163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228849 + ... + 249391.

Almost surely, 24912242160 is an apocalyptic number.

4912242160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4912242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752032128).

4912242160 is an abundant number, since it is smaller than the sum of its proper divisors (8591822096).

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

4912242160 is a wasteful number, since it uses less digits than its factorization.

4912242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20631 (or 20618 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4912242160 is about 70087.3894505995. The cubic root of 4912242160 is about 1699.9125860474.

The spelling of 4912242160 in words is "four billion, nine hundred twelve million, two hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 61 70 80 98 112 122 140 196 244 245 280 305 392 427 488 490 560 610 784 854 976 980 1220 1708 1960 2135 2440 2989 3416 3920 4270 4880 5978 6832 8540 11956 14945 17080 20543 23912 29890 34160 41086 47824 59780 82172 102715 119560 143801 164344 205430 239120 287602 328688 410860 575204 719005 821720 1006607 1150408 1253123 1438010 1643440 2013214 2300816 2506246 2876020 4026428 5012492 5033035 5752040 6265615 8052856 8771861 10024984 10066070 11504080 12531230 16105712 17543722 20049968 20132140 25062460 35087444 40264280 43859305 50124920 61403027 70174888 80528560 87718610 100249840 122806054 140349776 175437220 245612108 307015135 350874440 491224216 614030270 701748880 982448432 1228060540 2456121080 4912242160