Search a number
-
+
82015728 = 2434014261
BaseRepresentation
bin1001110001101…
…11010111110000
312201022211102120
410320313113300
5131444000403
612045514240
72014056624
oct470672760
9181284376
1082015728
11423286a3
1223572980
1313cb7a22
14ac6d184
157300e53
hex4e375f0

82015728 has 40 divisors (see below), whose sum is σ = 212452176. Its totient is φ = 27264000.

The previous prime is 82015727. The next prime is 82015729. The reversal of 82015728 is 82751028.

It is an interprime number because it is at equal distance from previous prime (82015727) and next prime (82015729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82015727) 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, 17118 + ... + 21378.

Almost surely, 282015728 is an apocalyptic number.

It is an amenable number.

82015728 is an abundant number, since it is smaller than the sum of its proper divisors (130436448).

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

82015728 is a wasteful number, since it uses less digits than its factorization.

82015728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 82015728 is about 9056.2535300200. The cubic root of 82015728 is about 434.4759232259.

The spelling of 82015728 in words is "eighty-two million, fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 401 802 1203 1604 2406 3208 4261 4812 6416 8522 9624 12783 17044 19248 25566 34088 51132 68176 102264 204528 1708661 3417322 5125983 6834644 10251966 13669288 20503932 27338576 41007864 82015728