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82777056 = 253862261
BaseRepresentation
bin1001110111100…
…01001111100000
312202202111202220
410323301033200
5132142331211
612114111040
72023410345
oct473611740
9182674686
1082777056
11427a869a
122387b480
13141c340b
14adca7cc
157401806
hex4ef13e0

82777056 has 24 divisors (see below), whose sum is σ = 217290024. Its totient is φ = 27592320.

The previous prime is 82777033. The next prime is 82777067. The reversal of 82777056 is 65077728.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 82776999 and 82777017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431035 + ... + 431226.

It is an arithmetic number, because the mean of its divisors is an integer number (9053751).

Almost surely, 282777056 is an apocalyptic number.

It is an amenable number.

82777056 is an abundant number, since it is smaller than the sum of its proper divisors (134512968).

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

82777056 is a wasteful number, since it uses less digits than its factorization.

82777056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862274 (or 862266 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 82777056 is about 9098.1897100467. The cubic root of 82777056 is about 435.8161556923.

The spelling of 82777056 in words is "eighty-two million, seven hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 862261 1724522 2586783 3449044 5173566 6898088 10347132 13796176 20694264 27592352 41388528 82777056