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4425445200 = 2435211335261
BaseRepresentation
bin1000001111100011…
…01110111101010000
3102102102020220112210
410013301232331100
533030403221300
62011044352120
7214444443411
oct40761567520
912372226483
104425445200
111971059530
12a360a5640
13556b01a37
142dda5d808
151ad7b3050
hex107c6ef50

4425445200 has 120 divisors (see below), whose sum is σ = 15464965536. Its totient is φ = 1072832000.

The previous prime is 4425445187. The next prime is 4425445229. The reversal of 4425445200 is 25445244.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 154431 + ... + 180830.

Almost surely, 24425445200 is an apocalyptic number.

4425445200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4425445200 is an abundant number, since it is smaller than the sum of its proper divisors (11039520336).

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

4425445200 is a wasteful number, since it uses less digits than its factorization.

4425445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335293 (or 335282 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4425445200 is about 66524.0197222026. The cubic root of 4425445200 is about 1641.7952282643.

It can be divided in two parts, 442544 and 5200, that added together give a palindrome (447744).

The spelling of 4425445200 in words is "four billion, four hundred twenty-five million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 335261 670522 1005783 1341044 1676305 2011566 2682088 3352610 3687871 4023132 5028915 5364176 6705220 7375742 8046264 8381525 10057830 11063613 13410440 14751484 16092528 16763050 18439355 20115660 22127226 25144575 26820880 29502968 33526100 36878710 40231320 44254452 50289150 55318065 59005936 67052200 73757420 80462640 88508904 92196775 100578300 110636130 134104400 147514840 177017808 184393550 201156600 221272260 276590325 295029680 368787100 402313200 442544520 553180650 737574200 885089040 1106361300 1475148400 2212722600 4425445200