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256842100 = 22524915231
BaseRepresentation
bin11110100111100…
…01100101110100
3122220021221010101
433103301211310
51011222421400
641253003444
76236056534
oct1723614564
9586257111
10256842100
11121a872a9
1272023584
1341299a98
142617b4c4
151783656a
hexf4f1974

256842100 has 36 divisors (see below), whose sum is σ = 558589248. Its totient is φ = 102508000.

The previous prime is 256842073. The next prime is 256842151. The reversal of 256842100 is 1248652.

It is a congruent number.

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, 46485 + ... + 51715.

It is an arithmetic number, because the mean of its divisors is an integer number (15516368).

Almost surely, 2256842100 is an apocalyptic number.

256842100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256842100 is an abundant number, since it is smaller than the sum of its proper divisors (301747148).

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

256842100 is a wasteful number, since it uses less digits than its factorization.

256842100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 256842100 is about 16026.2940195168. The cubic root of 256842100 is about 635.6558829605.

The spelling of 256842100 in words is "two hundred fifty-six million, eight hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 491 982 1964 2455 4910 5231 9820 10462 12275 20924 24550 26155 49100 52310 104620 130775 261550 523100 2568421 5136842 10273684 12842105 25684210 51368420 64210525 128421050 256842100