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85171456 = 28595639
BaseRepresentation
bin1010001001110…
…01110100000000
312221021011021101
411010321310000
5133300441311
612241304144
72052642166
oct504716400
9187234241
1085171456
1144093637
1224635054
1314851216
14b451236
157725ec1
hex5139d00

85171456 has 36 divisors (see below), whose sum is σ = 172922400. Its totient is φ = 41856512.

The previous prime is 85171451. The next prime is 85171523. The reversal of 85171456 is 65417158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85171451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12285 + ... + 17923.

It is an arithmetic number, because the mean of its divisors is an integer number (4803400).

Almost surely, 285171456 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 85171456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86461200).

85171456 is an abundant number, since it is smaller than the sum of its proper divisors (87750944).

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

85171456 is an equidigital number, since it uses as much as digits as its factorization.

85171456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5700 counting only the distinct ones).

The product of its digits is 33600, while the sum is 37.

The square root of 85171456 is about 9228.8382800870. The cubic root of 85171456 is about 439.9784011436.

The spelling of 85171456 in words is "eighty-five million, one hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 1888 3776 5639 7552 11278 15104 22556 45112 90224 180448 332701 360896 665402 721792 1330804 1443584 2661608 5323216 10646432 21292864 42585728 85171456