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85772925 = 355272017
BaseRepresentation
bin1010001110011…
…00101001111101
312222101201100000
411013030221331
5133424213200
612302224513
72061025560
oct507145175
9188351300
1085772925
1144464517
1224885139
1314a01c14
14b56a4d7
1577e4300
hex51cca7d

85772925 has 72 divisors (see below), whose sum is σ = 182168896. Its totient is φ = 39191040.

The previous prime is 85772891. The next prime is 85772927. The reversal of 85772925 is 52927758.

It is a happy number.

It is not a de Polignac number, because 85772925 - 211 = 85770877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85772927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41517 + ... + 43533.

Almost surely, 285772925 is an apocalyptic number.

It is an amenable number.

85772925 is an abundant number, since it is smaller than the sum of its proper divisors (96395971).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85772925 is a wasteful number, since it uses less digits than its factorization.

85772925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2032 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 85772925 is about 9261.3673396535. The cubic root of 85772925 is about 441.0116614992.

The spelling of 85772925 in words is "eighty-five million, seven hundred seventy-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 945 1215 1575 1701 2017 2025 2835 4725 6051 6075 8505 10085 14119 14175 18153 30255 42357 42525 50425 54459 70595 90765 127071 151275 163377 211785 272295 352975 381213 453825 490131 635355 816885 1058925 1143639 1361475 1906065 2450655 3176775 3430917 4084425 5718195 9530325 12253275 17154585 28590975 85772925