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82030536 = 23337227239
BaseRepresentation
bin1001110001110…
…10111111001000
312201100120202000
410320322333020
5131444434121
612050111000
72014151040
oct470727710
9181316660
1082030536
1142338835
122357b460
1313cc16a3
14ac74720
157305526
hex4e3afc8

82030536 has 128 divisors (see below), whose sum is σ = 262656000. Its totient is φ = 23236416.

The previous prime is 82030523. The next prime is 82030537. The reversal of 82030536 is 63503028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82030537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343105 + ... + 343343.

It is an arithmetic number, because the mean of its divisors is an integer number (2052000).

Almost surely, 282030536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82030536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

82030536 is an abundant number, since it is smaller than the sum of its proper divisors (180625464).

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

82030536 is a wasteful number, since it uses less digits than its factorization.

82030536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 82030536 is about 9057.0710497379. The cubic root of 82030536 is about 434.5020699682.

The spelling of 82030536 in words is "eighty-two million, thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 227 239 252 378 454 478 504 681 717 756 908 956 1362 1434 1512 1589 1673 1816 1912 2043 2151 2724 2868 3178 3346 4086 4302 4767 5019 5448 5736 6129 6356 6453 6692 8172 8604 9534 10038 12258 12712 12906 13384 14301 15057 16344 17208 19068 20076 24516 25812 28602 30114 38136 40152 42903 45171 49032 51624 54253 57204 60228 85806 90342 108506 114408 120456 162759 171612 180684 217012 325518 343224 361368 379771 434024 488277 651036 759542 976554 1139313 1302072 1464831 1519084 1953108 2278626 2929662 3038168 3417939 3906216 4557252 5859324 6835878 9114504 10253817 11718648 13671756 20507634 27343512 41015268 82030536