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541682232 = 2337131971259
BaseRepresentation
bin100000010010010…
…110101000111000
31101202021022022220
4200102112220320
52102132312412
6125430044040
716265136330
oct4022265070
91352238286
10541682232
11258846973
121314a9620
13882ba540
1451d260c0
153284d68c
hex20496a38

541682232 has 128 divisors (see below), whose sum is σ = 1676505600. Its totient is φ = 142023168.

The previous prime is 541682231. The next prime is 541682243. The reversal of 541682232 is 232286145.

It is a junction number, because it is equal to n+sod(n) for n = 541682193 and 541682202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541682231) 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 31 ways as a sum of consecutive naturals, for example, 429619 + ... + 430877.

It is an arithmetic number, because the mean of its divisors is an integer number (13097700).

Almost surely, 2541682232 is an apocalyptic number.

541682232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541682232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838252800).

541682232 is an abundant number, since it is smaller than the sum of its proper divisors (1134823368).

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

541682232 is a wasteful number, since it uses less digits than its factorization.

541682232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1481 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 541682232 is about 23274.0678008809. The cubic root of 541682232 is about 815.1700158437.

The spelling of 541682232 in words is "five hundred forty-one million, six hundred eighty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 197 273 312 364 394 546 591 728 788 1092 1182 1259 1379 1576 2184 2364 2518 2561 2758 3777 4137 4728 5036 5122 5516 7554 7683 8274 8813 10072 10244 11032 15108 15366 16367 16548 17626 17927 20488 26439 30216 30732 32734 33096 35252 35854 49101 52878 53781 61464 65468 70504 71708 98202 105756 107562 114569 130936 143416 196404 211512 215124 229138 248023 343707 392808 430248 458276 496046 687414 744069 916552 992092 1374828 1488138 1736161 1984184 2749656 2976276 3224299 3472322 5208483 5952552 6448598 6944644 9672897 10416966 12897196 13889288 19345794 20833932 22570093 25794392 38691588 41667864 45140186 67710279 77383176 90280372 135420558 180560744 270841116 541682232