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85465688 = 23711212613
BaseRepresentation
bin1010001100000…
…01101001011000
312221211002212212
411012001221120
5133334400223
612251454252
72055306050
oct506015130
9187732785
1085465688
1144274700
1224757388
1314925119
14b4ca560
157783278
hex5181a58

85465688 has 48 divisors (see below), whose sum is σ = 201319440. Its totient is φ = 33295680.

The previous prime is 85465687. The next prime is 85465691. The reversal of 85465688 is 88656458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85465687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470 + ... + 13082.

It is an arithmetic number, because the mean of its divisors is an integer number (4194155).

Almost surely, 285465688 is an apocalyptic number.

85465688 is a gapful number since it is divisible by the number (88) 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 85465688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100659720).

85465688 is an abundant number, since it is smaller than the sum of its proper divisors (115853752).

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

85465688 is a wasteful number, since it uses less digits than its factorization.

85465688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648 (or 12633 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 50.

The square root of 85465688 is about 9244.7654378032. The cubic root of 85465688 is about 440.4844663777.

The spelling of 85465688 in words is "eighty-five million, four hundred sixty-five thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 3388 6776 12613 25226 50452 88291 100904 138743 176582 277486 353164 554972 706328 971201 1109944 1526173 1942402 3052346 3884804 6104692 7769608 10683211 12209384 21366422 42732844 85465688