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512344100 = 22525123441
BaseRepresentation
bin11110100010011…
…100000000100100
31022201001202222102
4132202130000210
52022130002400
6122501151232
715460565402
oct3642340044
91281052872
10512344100
11243228784
121236bb518
13821b78b8
144c08a472
152eea59d5
hex1e89c024

512344100 has 18 divisors (see below), whose sum is σ = 1111786914. Its totient is φ = 204937600.

The previous prime is 512344087. The next prime is 512344103. The reversal of 512344100 is 1443215.

It can be written as a sum of positive squares in 3 ways, for example, as 143089444 + 369254656 = 11962^2 + 19216^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (512344103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2561621 + ... + 2561820.

Almost surely, 2512344100 is an apocalyptic number.

512344100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512344100 is an abundant number, since it is smaller than the sum of its proper divisors (599442814).

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

512344100 is a wasteful number, since it uses less digits than its factorization.

512344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123455 (or 5123448 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 512344100 is about 22635.0193284654. The cubic root of 512344100 is about 800.1791786158.

Adding to 512344100 its reverse (1443215), we get a palindrome (513787315).

The spelling of 512344100 in words is "five hundred twelve million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5123441 10246882 20493764 25617205 51234410 102468820 128086025 256172050 512344100