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4929226320 = 243543147653
BaseRepresentation
bin1001001011100111…
…00000011001010000
3110201112012122022210
410211303200121100
540043340220240
62133042232120
7233102506134
oct44563403120
913645178283
104929226320
1120aa468767
12b56955640
136072abb85
1434a91b3c4
151dcb26780
hex125ce0650

4929226320 has 80 divisors (see below), whose sum is σ = 15316376832. Its totient is φ = 1311383040.

The previous prime is 4929226319. The next prime is 4929226343. The reversal of 4929226320 is 236229294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×49292263202 = 48594544227561484800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79614 + ... + 127266.

Almost surely, 24929226320 is an apocalyptic number.

4929226320 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 4929226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658188416).

4929226320 is an abundant number, since it is smaller than the sum of its proper divisors (10387150512).

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

4929226320 is a wasteful number, since it uses less digits than its factorization.

4929226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48100 (or 48094 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 4929226320 is about 70208.4490641974. The cubic root of 4929226320 is about 1701.8694912317.

The spelling of 4929226320 in words is "four billion, nine hundred twenty-nine million, two hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 1293 1724 2155 2586 3448 4310 5172 6465 6896 8620 10344 12930 17240 20688 25860 34480 47653 51720 95306 103440 142959 190612 238265 285918 381224 476530 571836 714795 762448 953060 1143672 1429590 1906120 2287344 2859180 3812240 5718360 11436720 20538443 41076886 61615329 82153772 102692215 123230658 164307544 205384430 246461316 308076645 328615088 410768860 492922632 616153290 821537720 985845264 1232306580 1643075440 2464613160 4929226320