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82386512 = 2413431919
BaseRepresentation
bin1001110100100…
…01111001010000
312202000200001022
410322101321100
5132042332022
612101455012
72020162625
oct472217120
9182020038
1082386512
114256122a
1223711468
13140b7720
14ad2834c
157375c42
hex4e91e50

82386512 has 40 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 37895040.

The previous prime is 82386511. The next prime is 82386523. The reversal of 82386512 is 21568328.

It is a super-2 number, since 2×823865122 = 13575074719052288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82386511) 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, 89189 + ... + 90107.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 282386512 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 82386512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

82386512 is an abundant number, since it is smaller than the sum of its proper divisors (90102448).

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

82386512 is a wasteful number, since it uses less digits than its factorization.

82386512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1365 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 82386512 is about 9076.7016035562. The cubic root of 82386512 is about 435.1296781651.

The spelling of 82386512 in words is "eighty-two million, three hundred eighty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 431 862 919 1724 1838 3448 3676 5603 6896 7352 11206 11947 14704 22412 23894 44824 47788 89648 95576 191152 396089 792178 1584356 3168712 5149157 6337424 10298314 20596628 41193256 82386512