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4198003264 = 2672132892
BaseRepresentation
bin1111101000111000…
…0111001001000000
3101211120021122212101
43322032013021000
532044142101024
61532321440144
7206013303400
oct37216071100
911746248771
104198003264
111864732a94
12991aa0054
1351b959c00
142bb776800
15198837c44
hexfa387240

4198003264 has 189 divisors, whose sum is σ = 10612468107. Its totient is φ = 1642088448.

The previous prime is 4198003237. The next prime is 4198003351. The reversal of 4198003264 is 4623008914.

The square root of 4198003264 is 64792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1835265600 + 2362737664 = 42840^2 + 48608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47168532 + ... + 47168620.

Almost surely, 24198003264 is an apocalyptic number.

4198003264 is the 64792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198003264

4198003264 is an abundant number, since it is smaller than the sum of its proper divisors (6414464843).

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

4198003264 is an equidigital number, since it uses as much as digits as its factorization.

4198003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The cubic root of 4198003264 is about 1613.1729236654.

The spelling of 4198003264 in words is "four billion, one hundred ninety-eight million, three thousand, two hundred sixty-four".