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71640325 = 5237411889
BaseRepresentation
bin1000100010100…
…10010100000101
311222210201001101
410101102110011
5121314442300
611035300101
71526634631
oct421222405
9158721041
1071640325
1137491489
121bbaa631
1311ac4333
14972bdc1
156451b6a
hex4452505

71640325 has 24 divisors (see below), whose sum is σ = 93509640. Its totient is φ = 54374400.

The previous prime is 71640323. The next prime is 71640341. The reversal of 71640325 is 52304617.

It can be written as a sum of positive squares in 12 ways, for example, as 22724289 + 48916036 = 4767^2 + 6994^2 .

It is not a de Polignac number, because 71640325 - 21 = 71640323 is a prime.

It is a super-2 number, since 2×716403252 = 10264672332211250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71640293 and 71640302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71640323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36981 + ... + 38869.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 271640325 is an apocalyptic number.

It is an amenable number.

71640325 is a deficient number, since it is larger than the sum of its proper divisors (21869315).

71640325 is a wasteful number, since it uses less digits than its factorization.

71640325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 71640325 is about 8464.0607866437. The cubic root of 71640325 is about 415.3228725586.

It can be divided in two parts, 716 and 40325, that added together give a triangular number (41041 = T286).

The spelling of 71640325 in words is "seventy-one million, six hundred forty thousand, three hundred twenty-five".

Divisors: 1 5 25 37 41 185 205 925 1025 1517 1889 7585 9445 37925 47225 69893 77449 349465 387245 1747325 1936225 2865613 14328065 71640325