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4928460000 = 2535482141
BaseRepresentation
bin1001001011100001…
…00101010011100000
3110201110202201010120
410211300211103200
540043141210000
62133014000240
7233063135022
oct44560452340
913643681116
104928460000
1120a9a94a42
12b56646080
136070a1129
1434a79c012
151dca246a0
hex125c254e0

4928460000 has 120 divisors (see below), whose sum is σ = 16166531304. Its totient is φ = 1314240000.

The previous prime is 4928459993. The next prime is 4928460067. The reversal of 4928460000 is 648294.

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 18930 + ... + 101070.

Almost surely, 24928460000 is an apocalyptic number.

4928460000 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 4928460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083265652).

4928460000 is an abundant number, since it is smaller than the sum of its proper divisors (11238071304).

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

4928460000 is an equidigital number, since it uses as much as digits as its factorization.

4928460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82174 (or 82151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4928460000 is about 70202.9913892563. The cubic root of 4928460000 is about 1701.7812931972.

The spelling of 4928460000 in words is "four billion, nine hundred twenty-eight million, four hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 82141 164282 246423 328564 410705 492846 657128 821410 985692 1232115 1314256 1642820 1971384 2053525 2464230 2628512 3285640 3942768 4107050 4928460 6160575 6571280 7885536 8214100 9856920 10267625 12321150 13142560 16428200 19713840 20535250 24642300 30802875 32856400 39427680 41070500 49284600 51338125 61605750 65712800 82141000 98569200 102676250 123211500 154014375 164282000 197138400 205352500 246423000 308028750 328564000 410705000 492846000 616057500 821410000 985692000 1232115000 1642820000 2464230000 4928460000