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512048001 = 31066716001
BaseRepresentation
bin11110100001010…
…011101110000001
31022200111201210210
4132201103232001
52022041014001
6122450544333
715455223213
oct3641235601
91280451723
10512048001
11243046273
121235980a9
1382112baa
144c0105b3
152ee47dd6
hex1e853b81

512048001 has 8 divisors (see below), whose sum is σ = 682837344. Its totient is φ = 341312000.

The previous prime is 512047997. The next prime is 512048021. The reversal of 512048001 is 100840215.

512048001 is a nontrivial binomial coefficient, being equal to C(32002, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 512048001 - 22 = 512047997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (512048021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24001 + ... + 40001.

It is an arithmetic number, because the mean of its divisors is an integer number (85354668).

Almost surely, 2512048001 is an apocalyptic number.

512048001 is the 32001-st triangular number and also the 16001-st hexagonal number.

It is an amenable number.

512048001 is a deficient number, since it is larger than the sum of its proper divisors (170789343).

512048001 is a wasteful number, since it uses less digits than its factorization.

512048001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26671.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 512048001 is about 22628.4776553793. The cubic root of 512048001 is about 800.0249997396.

Adding to 512048001 its reverse (100840215), we get a palindrome (612888216).

The spelling of 512048001 in words is "five hundred twelve million, forty-eight thousand, one".

Divisors: 1 3 10667 16001 32001 48003 170682667 512048001