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82486836 = 2235113751
BaseRepresentation
bin1001110101010…
…10011000110100
312202012202200000
410322222120310
5132104034321
612103551300
72021061255
oct472523064
9182182600
1082486836
114261a643
122375b530
13141212a3
14ad52b2c
157395826
hex4eaa634

82486836 has 72 divisors (see below), whose sum is σ = 218434944. Its totient is φ = 27216000.

The previous prime is 82486813. The next prime is 82486837. The reversal of 82486836 is 63868428.

It is a happy number.

It is a super-2 number, since 2×824868362 = 13608156226581792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82486791 and 82486800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82486837) 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 23 ways as a sum of consecutive naturals, for example, 109461 + ... + 110211.

Almost surely, 282486836 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 82486836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109217472).

82486836 is an abundant number, since it is smaller than the sum of its proper divisors (135948108).

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

82486836 is a wasteful number, since it uses less digits than its factorization.

82486836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 82486836 is about 9082.2263790328. The cubic root of 82486836 is about 435.3062290805.

The spelling of 82486836 in words is "eighty-two million, four hundred eighty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 751 972 1017 1356 1502 2034 2253 3004 3051 4068 4506 6102 6759 9012 9153 12204 13518 18306 20277 27036 27459 36612 40554 54918 60831 81108 84863 109836 121662 169726 182493 243324 254589 339452 364986 509178 729972 763767 1018356 1527534 2291301 3055068 4582602 6873903 9165204 13747806 20621709 27495612 41243418 82486836