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85000192 = 2161297
BaseRepresentation
bin1010001000100…
…00000000000000
312220221110100021
411010100000000
5133230001232
612233503224
72051326654
oct504200000
9186843307
1085000192
1143a869a2
1224571b14
13147c1294
14b408a64
1576e0397
hex5110000

85000192 has 34 divisors (see below), whose sum is σ = 170130158. Its totient is φ = 42467328.

The previous prime is 85000183. The next prime is 85000219. The reversal of 85000192 is 29100058.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 65536 = 9216^2 + 256^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64888 + ... + 66184.

Almost surely, 285000192 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 85000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85065079).

85000192 is an abundant number, since it is smaller than the sum of its proper divisors (85129966).

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

85000192 is an frugal number, since it uses more digits than its factorization.

85000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 85000192 is about 9219.5548699490. The cubic root of 85000192 is about 439.6832982710.

The spelling of 85000192 in words is "eighty-five million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1297 2048 2594 4096 5188 8192 10376 16384 20752 32768 41504 65536 83008 166016 332032 664064 1328128 2656256 5312512 10625024 21250048 42500096 85000192