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82754720 = 255517217
BaseRepresentation
bin1001110111010…
…11110010100000
312202201101010122
410323223302200
5132141122340
612113415412
72023255256
oct473536240
9182641118
1082754720
1142792934
122386a568
13141b61b9
14adc25d6
1573e9db5
hex4eebca0

82754720 has 24 divisors (see below), whose sum is σ = 195508404. Its totient is φ = 33101824.

The previous prime is 82754701. The next prime is 82754753. The reversal of 82754720 is 2745728.

It can be written as a sum of positive squares in 2 ways, for example, as 75550864 + 7203856 = 8692^2 + 2684^2 .

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, 258449 + ... + 258768.

Almost surely, 282754720 is an apocalyptic number.

82754720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82754720 is an abundant number, since it is smaller than the sum of its proper divisors (112753684).

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

82754720 is a wasteful number, since it uses less digits than its factorization.

82754720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517232 (or 517224 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 82754720 is about 9096.9621302938. The cubic root of 82754720 is about 435.7769529398.

The spelling of 82754720 in words is "eighty-two million, seven hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 517217 1034434 2068868 2586085 4137736 5172170 8275472 10344340 16550944 20688680 41377360 82754720