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80378125 = 5517289
BaseRepresentation
bin1001100101001…
…11100100001101
312121020122001121
410302213210031
5131034100000
611550440541
71664126362
oct462474415
9177218047
1080378125
114140a303
1222b03151
1313863529
14a964469
1570cab1a
hex4ca790d

80378125 has 36 divisors (see below), whose sum is σ = 107922780. Its totient is φ = 59840000.

The previous prime is 80378117. The next prime is 80378141. The reversal of 80378125 is 52187308.

80378125 = 452 + 462 + ... + 6222.

It can be written as a sum of positive squares in 18 ways, for example, as 76370121 + 4008004 = 8739^2 + 2002^2 .

It is not a de Polignac number, because 80378125 - 23 = 80378117 is a prime.

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 35 ways as a sum of consecutive naturals, for example, 903081 + ... + 903169.

It is an arithmetic number, because the mean of its divisors is an integer number (2997855).

Almost surely, 280378125 is an apocalyptic number.

80378125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

80378125 is a deficient number, since it is larger than the sum of its proper divisors (27544655).

80378125 is an frugal number, since it uses more digits than its factorization.

80378125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 80378125 is about 8965.3848216348. The cubic root of 80378125 is about 431.5647425778.

It can be divided in two parts, 80 and 378125, that multiplied together give a square (30250000 = 55002).

The spelling of 80378125 in words is "eighty million, three hundred seventy-eight thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 89 125 289 425 445 625 1445 1513 2125 2225 3125 7225 7565 10625 11125 25721 36125 37825 53125 55625 128605 180625 189125 278125 643025 903125 945625 3215125 4728125 16075625 80378125