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4419481900 = 225289599829
BaseRepresentation
bin1000001110110101…
…11111000100101100
3102102000000221102211
410013122333010230
533022341410100
62010312500204
7214342655611
oct40732770454
912360027384
104419481900
111968756189
12a340aa664
135557c4662
142dcd4a508
151aced61ba
hex1076bf12c

4419481900 has 72 divisors (see below), whose sum is σ = 9725940000. Its totient is φ = 1742906880.

The previous prime is 4419481889. The next prime is 4419481919. The reversal of 4419481900 is 91849144.

It is a super-2 number, since 2×44194819002 = 39063640528855220000, which contains 22 as substring.

It is an unprimeable number.

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, 5330686 + ... + 5331514.

It is an arithmetic number, because the mean of its divisors is an integer number (135082500).

Almost surely, 24419481900 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 4419481900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862970000).

4419481900 is an abundant number, since it is smaller than the sum of its proper divisors (5306458100).

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

4419481900 is a wasteful number, since it uses less digits than its factorization.

4419481900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 4419481900 is about 66479.1839600939. The cubic root of 4419481900 is about 1641.0574555341.

The spelling of 4419481900 in words is "four billion, four hundred nineteen million, four hundred eighty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 599 829 890 1198 1658 1780 2225 2396 2995 3316 4145 4450 5990 8290 8900 11980 14975 16580 20725 29950 41450 53311 59900 73781 82900 106622 147562 213244 266555 295124 368905 496571 533110 737810 993142 1066220 1332775 1475620 1844525 1986284 2482855 2665550 3689050 4965710 5331100 7378100 9931420 12414275 24828550 44194819 49657100 88389638 176779276 220974095 441948190 883896380 1104870475 2209740950 4419481900