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77161225 = 5210612909
BaseRepresentation
bin1001001100101…
…10001100001001
312101012012022011
410212112030021
5124223124400
611353455521
71624600561
oct446261411
9171165264
1077161225
113a612409
1221a115a1
1312ca823b
14a367da1
156b928ba
hex4996309

77161225 has 12 divisors (see below), whose sum is σ = 95803020. Its totient is φ = 61649600.

The previous prime is 77161213. The next prime is 77161237. The reversal of 77161225 is 52216177.

It is an interprime number because it is at equal distance from previous prime (77161213) and next prime (77161237).

It can be written as a sum of positive squares in 6 ways, for example, as 1610361 + 75550864 = 1269^2 + 8692^2 .

It is not a de Polignac number, because 77161225 - 213 = 77153033 is a prime.

It is a super-3 number, since 3×771612253 (a number of 25 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 25071 + ... + 27979.

It is an arithmetic number, because the mean of its divisors is an integer number (7983585).

Almost surely, 277161225 is an apocalyptic number.

It is an amenable number.

77161225 is a deficient number, since it is larger than the sum of its proper divisors (18641795).

77161225 is a wasteful number, since it uses less digits than its factorization.

77161225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3975 counting only the distinct ones).

The product of its digits is 5880, while the sum is 31.

The square root of 77161225 is about 8784.1462305679. The cubic root of 77161225 is about 425.7288071678.

The spelling of 77161225 in words is "seventy-seven million, one hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 1061 2909 5305 14545 26525 72725 3086449 15432245 77161225