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82812474 = 23217277977
BaseRepresentation
bin1001110111110…
…01111000111010
312202211022100200
410323321320322
5132144444344
612114543030
72023615533
oct473717072
9182738320
1082812474
1142822268
1223897a76
1314206584
14add968a
15740c069
hex4ef9e3a

82812474 has 48 divisors (see below), whose sum is σ = 190862568. Its totient is φ = 25860096.

The previous prime is 82812473. The next prime is 82812481. The reversal of 82812474 is 47421828.

It can be written as a sum of positive squares in 4 ways, for example, as 80730225 + 2082249 = 8985^2 + 1443^2 .

It is not an unprimeable number, because it can be changed into a prime (82812473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84274 + ... + 85250.

Almost surely, 282812474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82812474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95431284).

82812474 is an abundant number, since it is smaller than the sum of its proper divisors (108050094).

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

82812474 is a wasteful number, since it uses less digits than its factorization.

82812474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1276 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 82812474 is about 9100.1359330507. The cubic root of 82812474 is about 435.8783046998.

The spelling of 82812474 in words is "eighty-two million, eight hundred twelve thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 277 306 554 831 977 1662 1954 2493 2931 4709 4986 5862 8793 9418 14127 16609 17586 28254 33218 42381 49827 84762 99654 149481 270629 298962 541258 811887 1623774 2435661 4600693 4871322 9201386 13802079 27604158 41406237 82812474