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80125000 = 2356641
BaseRepresentation
bin1001100011010…
…01110001001000
312120202202211121
410301221301020
5131003000000
611541205024
71662023404
oct461516110
9176682747
1080125000
114125710a
1222a00774
13137a5257
14a8da104
15707ab1a
hex4c69c48

80125000 has 56 divisors (see below), whose sum is σ = 188083530. Its totient is φ = 32000000.

The previous prime is 80124997. The next prime is 80125037. The reversal of 80125000 is 52108.

80125000 = T144 + T145 + ... + T784.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 24383844 + 55741156 = 4938^2 + 7466^2 .

It is a sliding number, since 80125000 = 125000 + 80000000 and 1/125000 + 1/80000000 = 0.0000080125000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124680 + ... + 125320.

Almost surely, 280125000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94041765).

80125000 is an abundant number, since it is smaller than the sum of its proper divisors (107958530).

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

80125000 is an frugal number, since it uses more digits than its factorization.

80125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 80125000 is about 8951.2568949841. The cubic root of 80125000 is about 431.1112415024. Note that the first 3 decimals are identical.

Adding to 80125000 its reverse (52108), we get a palindrome (80177108).

It can be divided in two parts, 80 and 125000, that multiplied together give a 7-th power (10000000 = 107).

The spelling of 80125000 in words is "eighty million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 641 1000 1250 1282 2500 2564 3125 3205 5000 5128 6250 6410 12500 12820 15625 16025 25000 25640 31250 32050 62500 64100 80125 125000 128200 160250 320500 400625 641000 801250 1602500 2003125 3205000 4006250 8012500 10015625 16025000 20031250 40062500 80125000