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82780096 = 267184777
BaseRepresentation
bin1001110111100…
…01111111000000
312202202122221111
410323301333000
5132142430341
612114133104
72023422250
oct473617700
9182678844
1082780096
11427aaa03
1223881194
13141c4909
14adcb960
157402681
hex4ef1fc0

82780096 has 28 divisors (see below), whose sum is σ = 187734448. Its totient is φ = 35476992.

The previous prime is 82780081. The next prime is 82780097. The reversal of 82780096 is 69008728.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82780097) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91941 + ... + 92836.

Almost surely, 282780096 is an apocalyptic number.

It is an amenable number.

82780096 is an abundant number, since it is smaller than the sum of its proper divisors (104954352).

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

82780096 is a wasteful number, since it uses less digits than its factorization.

82780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184796 (or 184786 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 82780096 is about 9098.3567747149. The cubic root of 82780096 is about 435.8214907653.

The spelling of 82780096 in words is "eighty-two million, seven hundred eighty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 184777 369554 739108 1293439 1478216 2586878 2956432 5173756 5912864 10347512 11825728 20695024 41390048 82780096