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85327704 = 233271115391
BaseRepresentation
bin1010001010111…
…11111101011000
312221120002121100
411011133331120
5133320441304
612244511400
72054162550
oct505377530
9187502540
1085327704
114418aa70
12246ab560
13148a7387
14b492160
157757439
hex515ff58

85327704 has 96 divisors (see below), whose sum is σ = 288138240. Its totient is φ = 22161600.

The previous prime is 85327703. The next prime is 85327751. The reversal of 85327704 is 40772358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85327703) 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, 2152 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (3001440).

Almost surely, 285327704 is an apocalyptic number.

85327704 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85327704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144069120).

85327704 is an abundant number, since it is smaller than the sum of its proper divisors (202810536).

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

85327704 is a wasteful number, since it uses less digits than its factorization.

85327704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15421 (or 15414 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 85327704 is about 9237.2996054042. The cubic root of 85327704 is about 440.2472852391.

The spelling of 85327704 in words is "eighty-five million, three hundred twenty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 15391 30782 46173 61564 92346 107737 123128 138519 169301 184692 215474 277038 323211 338602 369384 430948 507903 554076 646422 677204 861896 969633 1015806 1108152 1185107 1292844 1354408 1523709 1939266 2031612 2370214 2585688 3047418 3555321 3878532 4063224 4740428 6094836 7110642 7757064 9480856 10665963 12189672 14221284 21331926 28442568 42663852 85327704