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4425015200 = 255241134909
BaseRepresentation
bin1000001111100000…
…00101111110100000
3102102101110001200212
410013300011332200
533030300441300
62011031233252
7214441002644
oct40760057640
912371401625
104425015200
111970895461
12a35b18828
135569b10b8
142dd98ac24
151ad72a935
hex107c05fa0

4425015200 has 72 divisors (see below), whose sum is σ = 11066127660. Its totient is φ = 1726822400.

The previous prime is 4425015191. The next prime is 4425015227. The reversal of 4425015200 is 25105244.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 154654096 + 4270361104 = 12436^2 + 65348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34655 + ... + 100254.

Almost surely, 24425015200 is an apocalyptic number.

4425015200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4425015200 is an abundant number, since it is smaller than the sum of its proper divisors (6641112460).

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

4425015200 is a wasteful number, since it uses less digits than its factorization.

4425015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134970 (or 134957 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 4425015200 is about 66520.7877283485. The cubic root of 4425015200 is about 1641.7420513309.

The spelling of 4425015200 in words is "four billion, four hundred twenty-five million, fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 656 800 820 1025 1312 1640 2050 3280 4100 6560 8200 16400 32800 134909 269818 539636 674545 1079272 1349090 2158544 2698180 3372725 4317088 5396360 5531269 6745450 10792720 11062538 13490900 21585440 22125076 26981800 27656345 44250152 53963600 55312690 88500304 107927200 110625380 138281725 177000608 221250760 276563450 442501520 553126900 885003040 1106253800 2212507600 4425015200