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85669888 = 21159709
BaseRepresentation
bin1010001101100…
…11100000000000
312222012110222211
411012303200000
5133412414023
612300111504
72060116303
oct506634000
9188173884
1085669888
11443a4067
1224835594
1314997055
14b540b3a
1577c3a0d
hex51b3800

85669888 has 48 divisors (see below), whose sum is σ = 174447000. Its totient is φ = 42049536.

The previous prime is 85669877. The next prime is 85669897. The reversal of 85669888 is 88896658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120478 + ... + 121186.

Almost surely, 285669888 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 85669888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87223500).

85669888 is an abundant number, since it is smaller than the sum of its proper divisors (88777112).

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

85669888 is an equidigital number, since it uses as much as digits as its factorization.

85669888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 770 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 58.

The square root of 85669888 is about 9255.8029365366. The cubic root of 85669888 is about 440.8349984234.

The spelling of 85669888 in words is "eighty-five million, six hundred sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 709 944 1024 1418 1888 2048 2836 3776 5672 7552 11344 15104 22688 30208 41831 45376 60416 83662 90752 120832 167324 181504 334648 363008 669296 726016 1338592 1452032 2677184 5354368 10708736 21417472 42834944 85669888