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82131450 = 23525310331
BaseRepresentation
bin1001110010100…
…11100111111010
312201112201011120
410321103213322
5132011201300
612052210110
72015051202
oct471234772
9181481146
1082131450
11423a7635
1223609936
13140285bb
14ac9d402
1573253a0
hex4e539fa

82131450 has 48 divisors (see below), whose sum is σ = 207549216. Its totient is φ = 21486400.

The previous prime is 82131443. The next prime is 82131457. The reversal of 82131450 is 5413128.

It is an interprime number because it is at equal distance from previous prime (82131443) and next prime (82131457).

It is a self number, because there is not a number n which added to its sum of digits gives 82131450.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82131457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2785 + ... + 13115.

It is an arithmetic number, because the mean of its divisors is an integer number (4323942).

Almost surely, 282131450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82131450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103774608).

82131450 is an abundant number, since it is smaller than the sum of its proper divisors (125417766).

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

82131450 is a wasteful number, since it uses less digits than its factorization.

82131450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10394 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 82131450 is about 9062.6403437409. The cubic root of 82131450 is about 434.6801718310.

Adding to 82131450 its reverse (5413128), we get a palindrome (87544578).

The spelling of 82131450 in words is "eighty-two million, one hundred thirty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 1325 1590 2650 3975 7950 10331 20662 30993 51655 61986 103310 154965 258275 309930 516550 547543 774825 1095086 1549650 1642629 2737715 3285258 5475430 8213145 13688575 16426290 27377150 41065725 82131450