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81058208 = 2571167491
BaseRepresentation
bin1001101010011…
…01100110100000
312122112011221212
410311031212200
5131222330313
612013205252
72002661210
oct465154640
9178464855
1081058208
1141834260
1223190828
1313a40c4a
14aaa0240
1571b23a8
hex4d4d9a0

81058208 has 96 divisors (see below), whose sum is σ = 202341888. Its totient is φ = 31046400.

The previous prime is 81058207. The next prime is 81058217. The reversal of 81058208 is 80285018.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81058207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164843 + ... + 165333.

It is an arithmetic number, because the mean of its divisors is an integer number (2107728).

Almost surely, 281058208 is an apocalyptic number.

81058208 is a gapful number since it is divisible by the number (88) 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 81058208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101170944).

81058208 is an abundant number, since it is smaller than the sum of its proper divisors (121283680).

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

81058208 is a wasteful number, since it uses less digits than its factorization.

81058208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 81058208 is about 9003.2331970243. The cubic root of 81058208 is about 432.7784888226.

The spelling of 81058208 in words is "eighty-one million, fifty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 67 77 88 112 134 154 176 224 268 308 352 469 491 536 616 737 938 982 1072 1232 1474 1876 1964 2144 2464 2948 3437 3752 3928 5159 5401 5896 6874 7504 7856 10318 10802 11792 13748 15008 15712 20636 21604 23584 27496 32897 37807 41272 43208 54992 65794 75614 82544 86416 109984 131588 151228 165088 172832 230279 263176 302456 361867 460558 526352 604912 723734 921116 1052704 1209824 1447468 1842232 2533069 2894936 3684464 5066138 5789872 7368928 10132276 11579744 20264552 40529104 81058208