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85665524 = 22722331613
BaseRepresentation
bin1010001101100…
…10011011110100
312222012021000012
411012302123310
5133412244044
612300035352
72060100500
oct506623364
9188167005
1085665524
11443a085a
1224832b58
1314995079
14b53d300
1577c259e
hex51b26f4

85665524 has 72 divisors (see below), whose sum is σ = 188149248. Its totient is φ = 33929280.

The previous prime is 85665521. The next prime is 85665527. The reversal of 85665524 is 42556658.

It is an interprime number because it is at equal distance from previous prime (85665521) and next prime (85665527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85665521) 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, 139442 + ... + 140054.

It is an arithmetic number, because the mean of its divisors is an integer number (2613184).

Almost surely, 285665524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85665524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94074624).

85665524 is an abundant number, since it is smaller than the sum of its proper divisors (102483724).

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

85665524 is a wasteful number, since it uses less digits than its factorization.

85665524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its digits is 288000, while the sum is 41.

The square root of 85665524 is about 9255.5671895352. The cubic root of 85665524 is about 440.8275129593.

The spelling of 85665524 in words is "eighty-five million, six hundred sixty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 31 46 49 62 92 98 124 161 196 217 322 434 613 644 713 868 1127 1226 1426 1519 2254 2452 2852 3038 4291 4508 4991 6076 8582 9982 14099 17164 19003 19964 28198 30037 34937 38006 56396 60074 69874 76012 98693 120148 133021 139748 197386 266042 394772 437069 532084 690851 874138 931147 1381702 1748276 1862294 2763404 3059483 3724588 6118966 12237932 21416381 42832762 85665524