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85276269 = 32132941613
BaseRepresentation
bin1010001010100…
…11011001101101
312221110111001100
411011103121231
5133312320034
612243433313
72053556601
oct505233155
9187414040
1085276269
1144155361
1224685839
1314889b40
14b47b501
157747099
hex515366d

85276269 has 48 divisors (see below), whose sum is σ = 140802480. Its totient is φ = 49351680.

The previous prime is 85276253. The next prime is 85276349. The reversal of 85276269 is 96267258.

85276269 is a `hidden beast` number, since 8 + 527 + 62 + 69 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46376100 + 38900169 = 6810^2 + 6237^2 .

It is not a de Polignac number, because 85276269 - 24 = 85276253 is a prime.

It is a super-2 number, since 2×852762692 = 14544084109120722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85276229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138807 + ... + 139419.

It is an arithmetic number, because the mean of its divisors is an integer number (2933385).

Almost surely, 285276269 is an apocalyptic number.

It is an amenable number.

85276269 is a deficient number, since it is larger than the sum of its proper divisors (55526211).

85276269 is a wasteful number, since it uses less digits than its factorization.

85276269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 699 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 85276269 is about 9234.5150928460. The cubic root of 85276269 is about 440.1588080331.

The spelling of 85276269 in words is "eighty-five million, two hundred seventy-six thousand, two hundred sixty-nine".

Divisors: 1 3 9 13 29 39 41 87 117 123 261 369 377 533 613 1131 1189 1599 1839 3393 3567 4797 5517 7969 10701 15457 17777 23907 25133 46371 53331 71721 75399 139113 159993 226197 231101 326729 693303 728857 980187 2079909 2186571 2940561 6559713 9475141 28425423 85276269