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78210125 = 53721132
BaseRepresentation
bin1001010100101…
…10010001001101
312110011111010022
410222112101031
5130010211000
611432151525
71636526600
oct452262115
9173144108
1078210125
1140169474
12222385a5
13132847a6
14a55c337
156ced585
hex4a9644d

78210125 has 36 divisors (see below), whose sum is σ = 114555636. Its totient is φ = 53155200.

The previous prime is 78210109. The next prime is 78210131. The reversal of 78210125 is 52101287.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 70795396 + 7414729 = 8414^2 + 2723^2 .

It is not a de Polignac number, because 78210125 - 24 = 78210109 is a prime.

It is a super-2 number, since 2×782101252 = 12233647305031250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78210094 and 78210103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 692069 + ... + 692181.

It is an arithmetic number, because the mean of its divisors is an integer number (3182101).

Almost surely, 278210125 is an apocalyptic number.

It is an amenable number.

78210125 is a deficient number, since it is larger than the sum of its proper divisors (36345511).

78210125 is an equidigital number, since it uses as much as digits as its factorization.

78210125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 78210125 is about 8843.6488510117. The cubic root of 78210125 is about 427.6491961267.

The spelling of 78210125 in words is "seventy-eight million, two hundred ten thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 113 125 175 245 565 791 875 1225 2825 3955 5537 6125 12769 14125 19775 27685 63845 89383 98875 138425 319225 446915 625681 692125 1596125 2234575 3128405 11172875 15642025 78210125