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82774864 = 2414934721
BaseRepresentation
bin1001110111100…
…00101101010000
312202202101202201
410323300231100
5132142243424
612114052544
72023401064
oct473605520
9182671681
1082774864
11427a6a87
122387a154
13141c2413
14adc9aa4
157400d44
hex4ef0b50

82774864 has 20 divisors (see below), whose sum is σ = 161457300. Its totient is φ = 41108480.

The previous prime is 82774847. The next prime is 82774877. The reversal of 82774864 is 46847728.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 55651600 = 5208^2 + 7460^2 .

It is a super-2 number, since 2×827748642 = 13703356220436992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14977 + ... + 19744.

It is an arithmetic number, because the mean of its divisors is an integer number (8072865).

Almost surely, 282774864 is an apocalyptic number.

It is an amenable number.

82774864 is a deficient number, since it is larger than the sum of its proper divisors (78682436).

82774864 is a wasteful number, since it uses less digits than its factorization.

82774864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34878 (or 34872 counting only the distinct ones).

The product of its digits is 602112, while the sum is 46.

The square root of 82774864 is about 9098.0692457246. The cubic root of 82774864 is about 435.8123087429.

It can be divided in two parts, 82774 and 864, that added together give a palindrome (83638).

The spelling of 82774864 in words is "eighty-two million, seven hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 149 298 596 1192 2384 34721 69442 138884 277768 555536 5173429 10346858 20693716 41387432 82774864