Search a number
-
+
80829738 = 2341167677
BaseRepresentation
bin1001101000101…
…01110100101010
312122002120120000
410310111310222
5131143022423
612004243430
72001020133
oct464256452
9178076500
1080829738
1141698640
12230a0576
1313990c62
14aa40c8a
157169843
hex4d15d2a

80829738 has 80 divisors (see below), whose sum is σ = 200829024. Its totient is φ = 24092640.

The previous prime is 80829733. The next prime is 80829739. The reversal of 80829738 is 83792808.

It is a junction number, because it is equal to n+sod(n) for n = 80829693 and 80829702.

It is not an unprimeable number, because it can be changed into a prime (80829733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119056 + ... + 119732.

Almost surely, 280829738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80829738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100414512).

80829738 is an abundant number, since it is smaller than the sum of its proper divisors (119999286).

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

80829738 is a wasteful number, since it uses less digits than its factorization.

80829738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 80829738 is about 8990.5360240644. The cubic root of 80829738 is about 432.3714975694.

The spelling of 80829738 in words is "eighty million, eight hundred twenty-nine thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 81 99 134 162 198 201 297 402 594 603 677 737 891 1206 1354 1474 1782 1809 2031 2211 3618 4062 4422 5427 6093 6633 7447 10854 12186 13266 14894 18279 19899 22341 36558 39798 44682 45359 54837 59697 67023 90718 109674 119394 134046 136077 201069 272154 402138 408231 498949 603207 816462 997898 1206414 1224693 1496847 2449386 2993694 3674079 4490541 7348158 8981082 13471623 26943246 40414869 80829738