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71631125 = 537572
BaseRepresentation
bin1000100010100…
…00000100010101
311222210020102122
410101100010111
5121314144000
611035145325
71526566046
oct421200425
9158706378
1071631125
1137485585
121bba5245
1311ac00a7
1497288cd
15644e085
hex4450115

71631125 has 12 divisors (see below), whose sum is σ = 89513892. Its totient is φ = 57229200.

The previous prime is 71631103. The next prime is 71631137. The reversal of 71631125 is 52113617.

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 15665764 + 55965361 = 3958^2 + 7481^2 .

It is not a de Polignac number, because 71631125 - 216 = 71565589 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71631094 and 71631103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94247 + ... + 95003.

It is an arithmetic number, because the mean of its divisors is an integer number (7459491).

Almost surely, 271631125 is an apocalyptic number.

It is an amenable number.

71631125 is a deficient number, since it is larger than the sum of its proper divisors (17882767).

71631125 is an frugal number, since it uses more digits than its factorization.

71631125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 762 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 71631125 is about 8463.5172948367. The cubic root of 71631125 is about 415.3050933074.

The spelling of 71631125 in words is "seventy-one million, six hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 757 3785 18925 94625 573049 2865245 14326225 71631125