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82451382 = 23132314361
BaseRepresentation
bin1001110101000…
…01101110110110
312202010222000220
410322201232312
5132101421012
612103115210
72020553016
oct472415666
9182128026
1082451382
11425a5a42
1223742b06
131410b100
14ad43c46
15738a08c
hex4ea1bb6

82451382 has 96 divisors (see below), whose sum is σ = 191702016. Its totient is φ = 23587200.

The previous prime is 82451381. The next prime is 82451423. The reversal of 82451382 is 28315428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82451381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351632 + ... + 1351692.

It is an arithmetic number, because the mean of its divisors is an integer number (1996896).

Almost surely, 282451382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82451382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95851008).

82451382 is an abundant number, since it is smaller than the sum of its proper divisors (109250634).

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

82451382 is a wasteful number, since it uses less digits than its factorization.

82451382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 82451382 is about 9080.2743350628. The cubic root of 82451382 is about 435.2438532337.

The spelling of 82451382 in words is "eighty-two million, four hundred fifty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 13 26 31 39 43 61 62 78 86 93 122 129 169 183 186 258 338 366 403 507 559 793 806 1014 1118 1209 1333 1586 1677 1891 2379 2418 2623 2666 3354 3782 3999 4758 5239 5246 5673 7267 7869 7998 10309 10478 11346 14534 15717 15738 17329 20618 21801 24583 30927 31434 34099 34658 43602 49166 51987 61854 68198 73749 81313 102297 103974 147498 162626 204594 225277 243939 319579 443287 450554 487878 639158 675831 886574 958737 1057069 1329861 1351662 1917474 2114138 2659722 3171207 6342414 13741897 27483794 41225691 82451382