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85765650 = 23524313297
BaseRepresentation
bin1010001110010…
…10111000010010
312222101100100120
411013022320102
5133424000100
612302131110
72060665425
oct507127022
9188340316
1085765650
114445a003
1224880a96
13149cb809
14b5679bc
1577e20a0
hex51cae12

85765650 has 48 divisors (see below), whose sum is σ = 217661664. Its totient is φ = 22337280.

The previous prime is 85765649. The next prime is 85765661. The reversal of 85765650 is 5656758.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199 + ... + 13098.

It is an arithmetic number, because the mean of its divisors is an integer number (4534618).

Almost surely, 285765650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85765650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108830832).

85765650 is an abundant number, since it is smaller than the sum of its proper divisors (131896014).

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

85765650 is a wasteful number, since it uses less digits than its factorization.

85765650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13355 (or 13350 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 85765650 is about 9260.9745707458. The cubic root of 85765650 is about 440.9991927217. Note that the first 3 decimals are identical.

The spelling of 85765650 in words is "eighty-five million, seven hundred sixty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 2150 3225 6450 13297 26594 39891 66485 79782 132970 199455 332425 398910 571771 664850 997275 1143542 1715313 1994550 2858855 3430626 5717710 8576565 14294275 17153130 28588550 42882825 85765650