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4728103830 = 2325193774729
BaseRepresentation
bin1000110011101000…
…10010001110010110
3110012111202120010200
410121310102032112
534140343310310
62101055401330
7225111135162
oct43164221626
913174676120
104728103830
11200698942a
12abb523246
135a4720998
1432bd25ca2
151ca1499c0
hex119d12396

4728103830 has 96 divisors (see below), whose sum is σ = 13289983200. Its totient is φ = 1162169856.

The previous prime is 4728103753. The next prime is 4728103847. The reversal of 4728103830 is 383018274.

4728103830 is a `hidden beast` number, since 472 + 8 + 103 + 83 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25906 + ... + 100634.

It is an arithmetic number, because the mean of its divisors is an integer number (138437325).

Almost surely, 24728103830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4728103830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644991600).

4728103830 is an abundant number, since it is smaller than the sum of its proper divisors (8561879370).

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

4728103830 is a wasteful number, since it uses less digits than its factorization.

4728103830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74798 (or 74795 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4728103830 is about 68761.2087590089. The cubic root of 4728103830 is about 1678.4007634164.

The spelling of 4728103830 in words is "four billion, seven hundred twenty-eight million, one hundred three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 37 38 45 57 74 90 95 111 114 171 185 190 222 285 333 342 370 555 570 666 703 855 1110 1406 1665 1710 2109 3330 3515 4218 6327 7030 10545 12654 21090 31635 63270 74729 149458 224187 373645 448374 672561 747290 1120935 1345122 1419851 2241870 2764973 2839702 3362805 4259553 5529946 6725610 7099255 8294919 8519106 12778659 13824865 14198510 16589838 21297765 24884757 25557318 27649730 41474595 42595530 49769514 52534487 63893295 82949190 105068974 124423785 127786590 157603461 248847570 262672435 315206922 472810383 525344870 788017305 945620766 1576034610 2364051915 4728103830