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80723825 = 52721337137
BaseRepresentation
bin1001100111110…
…11111101110001
312121220012021022
410303323331301
5131131130300
612002105225
72000066300
oct463737561
9177805238
1080723825
1141626006
122304b215
13139549a0
14aa14437
157148285
hex4cfbf71

80723825 has 72 divisors (see below), whose sum is σ = 129726072. Its totient is φ = 49351680.

The previous prime is 80723821. The next prime is 80723827. The reversal of 80723825 is 52832708.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 15808576 + 64915249 = 3976^2 + 8057^2 .

It is not a de Polignac number, because 80723825 - 22 = 80723821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80723821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 589157 + ... + 589293.

It is an arithmetic number, because the mean of its divisors is an integer number (1801751).

Almost surely, 280723825 is an apocalyptic number.

It is an amenable number.

80723825 is a deficient number, since it is larger than the sum of its proper divisors (49002247).

80723825 is a wasteful number, since it uses less digits than its factorization.

80723825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 80723825 is about 8984.6438438037. The cubic root of 80723825 is about 432.1825663681.

The spelling of 80723825 in words is "eighty million, seven hundred twenty-three thousand, eight hundred twenty-five".

Divisors: 1 5 7 13 25 35 37 49 65 91 137 175 185 245 259 325 455 481 637 685 925 959 1225 1295 1781 1813 2275 2405 3185 3367 3425 4795 5069 6475 6713 8905 9065 12025 12467 15925 16835 23569 23975 25345 33565 35483 44525 45325 62335 65897 84175 87269 117845 126725 167825 177415 248381 311675 329485 436345 461279 589225 887075 1241905 1647425 2181725 2306395 3228953 6209525 11531975 16144765 80723825