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75115625 = 5513432
BaseRepresentation
bin1000111101000…
…10110001101001
312020100021021012
410132202301221
5123212200000
611241553305
71601320664
oct436426151
9166307235
1075115625
1139445532
12211a5835
1312740120
149d946db
1568db735
hex47a2c69

75115625 has 36 divisors (see below), whose sum is σ = 103516812. Its totient is φ = 54180000.

The previous prime is 75115561. The next prime is 75115627. The reversal of 75115625 is 52651157.

It can be written as a sum of positive squares in 6 ways, for example, as 71031184 + 4084441 = 8428^2 + 2021^2 .

It is not a de Polignac number, because 75115625 - 26 = 75115561 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75115591 and 75115600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75115627) by changing a digit.

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, 1746854 + ... + 1746896.

It is an arithmetic number, because the mean of its divisors is an integer number (2875467).

Almost surely, 275115625 is an apocalyptic number.

It is an amenable number.

75115625 is a deficient number, since it is larger than the sum of its proper divisors (28401187).

75115625 is an frugal number, since it uses more digits than its factorization.

75115625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 61 counting only the distinct ones).

The product of its digits is 10500, while the sum is 32.

The square root of 75115625 is about 8666.9270794209. The cubic root of 75115625 is about 421.9329367162.

The spelling of 75115625 in words is "seventy-five million, one hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 13 25 43 65 125 215 325 559 625 1075 1625 1849 2795 3125 5375 8125 9245 13975 24037 26875 40625 46225 69875 120185 134375 231125 349375 600925 1155625 1746875 3004625 5778125 15023125 75115625