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82774764 = 22335314461
BaseRepresentation
bin1001110111100…
…00101011101100
312202202101122000
410323300223230
5132142243024
612114052300
72023400562
oct473605354
9182671560
1082774764
11427a69a6
122387a090
13141c2367
14adc9a32
157400cc9
hex4ef0aec

82774764 has 48 divisors (see below), whose sum is σ = 218665440. Its totient is φ = 27069120.

The previous prime is 82774763. The next prime is 82774789. The reversal of 82774764 is 46747728.

It is not an unprimeable number, because it can be changed into a prime (82774763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507 + ... + 12954.

It is an arithmetic number, because the mean of its divisors is an integer number (4555530).

Almost surely, 282774764 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 82774764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109332720).

82774764 is an abundant number, since it is smaller than the sum of its proper divisors (135890676).

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

82774764 is a wasteful number, since it uses less digits than its factorization.

82774764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14527 (or 14519 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 82774764 is about 9098.0637500514. The cubic root of 82774764 is about 435.8121332418.

It can be divided in two parts, 82774 and 764, that added together give a palindrome (83538).

The spelling of 82774764 in words is "eighty-two million, seven hundred seventy-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 14461 28922 43383 57844 86766 130149 173532 260298 390447 520596 766433 780894 1532866 1561788 2299299 3065732 4598598 6897897 9197196 13795794 20693691 27591588 41387382 82774764