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182828112 = 24310493631
BaseRepresentation
bin10101110010110…
…11110001010000
3110202000122000120
422321123301100
5333300444422
630050350240
74350004365
oct1271336120
9422018016
10182828112
1194224515
125128b380
132bb5421c
141a3d246c
15110b645c
hexae5bc50

182828112 has 40 divisors (see below), whose sum is σ = 472886400. Its totient is φ = 60867840.

The previous prime is 182828101. The next prime is 182828117. The reversal of 182828112 is 211828281.

182828112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1828281123 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182828117) 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, 48537 + ... + 52167.

It is an arithmetic number, because the mean of its divisors is an integer number (11822160).

Almost surely, 2182828112 is an apocalyptic number.

182828112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

182828112 is an abundant number, since it is smaller than the sum of its proper divisors (290058288).

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

182828112 is a wasteful number, since it uses less digits than its factorization.

182828112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4685 counting only the distinct ones).

The product of its digits is 4096, while the sum is 33.

The square root of 182828112 is about 13521.3946026288. The cubic root of 182828112 is about 567.5633256845.

The spelling of 182828112 in words is "one hundred eighty-two million, eight hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1049 2098 3147 3631 4196 6294 7262 8392 10893 12588 14524 16784 21786 25176 29048 43572 50352 58096 87144 174288 3808919 7617838 11426757 15235676 22853514 30471352 45707028 60942704 91414056 182828112