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85028454 = 234797773
BaseRepresentation
bin1010001000101…
…10111001100110
312220222220010000
411010112321212
5133231402304
612234242130
72051505240
oct504267146
9186886100
1085028454
1143aa6155
1224586346
13148010c4
14b415090
1576e8939
hex5116e66

85028454 has 80 divisors (see below), whose sum is σ = 220274208. Its totient is φ = 24012288.

The previous prime is 85028431. The next prime is 85028459. The reversal of 85028454 is 45482058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85028459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109612 + ... + 110384.

Almost surely, 285028454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85028454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110137104).

85028454 is an abundant number, since it is smaller than the sum of its proper divisors (135245754).

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

85028454 is a wasteful number, since it uses less digits than its factorization.

85028454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 85028454 is about 9221.0874629840. The cubic root of 85028454 is about 439.7320234645.

The spelling of 85028454 in words is "eighty-five million, twenty-eight thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 97 126 162 189 194 291 378 567 582 679 773 873 1134 1358 1546 1746 2037 2319 2619 4074 4638 5238 5411 6111 6957 7857 10822 12222 13914 15714 16233 18333 20871 32466 36666 41742 48699 54999 62613 74981 97398 109998 125226 146097 149962 224943 292194 438291 449886 524867 674829 876582 1049734 1349658 1574601 2024487 3149202 4048974 4723803 6073461 9447606 12146922 14171409 28342818 42514227 85028454