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132277925 = 52133531153
BaseRepresentation
bin1111110001001…
…10011010100101
3100012220102012102
413320212122211
5232330343200
621043101445
73164225633
oct770463245
9305812172
10132277925
11687383aa
1238371885
1321535580
14137d4353
15b92d6d5
hex7e266a5

132277925 has 24 divisors (see below), whose sum is σ = 177295944. Its totient is φ = 97320960.

The previous prime is 132277921. The next prime is 132277927. The reversal of 132277925 is 529772231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 44930209 + 87347716 = 6703^2 + 9346^2 .

It is not a de Polignac number, because 132277925 - 22 = 132277921 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132277921) 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, 114149 + ... + 115301.

It is an arithmetic number, because the mean of its divisors is an integer number (7387331).

Almost surely, 2132277925 is an apocalyptic number.

It is an amenable number.

132277925 is a deficient number, since it is larger than the sum of its proper divisors (45018019).

132277925 is a wasteful number, since it uses less digits than its factorization.

132277925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1524 counting only the distinct ones).

The product of its digits is 52920, while the sum is 38.

The square root of 132277925 is about 11501.2140663497. The cubic root of 132277925 is about 509.5214336797.

The spelling of 132277925 in words is "one hundred thirty-two million, two hundred seventy-seven thousand, nine hundred twenty-five".

Divisors: 1 5 13 25 65 325 353 1153 1765 4589 5765 8825 14989 22945 28825 74945 114725 374725 407009 2035045 5291117 10175225 26455585 132277925