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85446328 = 23112103857
BaseRepresentation
bin1010001011111…
…00111010111000
312221210010022211
411011330322320
5133333240303
612251224504
72055165442
oct505747270
9187703284
1085446328
1144261100
1224748134
1314919376
14b4c3492
15777c66d
hex517ceb8

85446328 has 48 divisors (see below), whose sum is σ = 178017840. Its totient is φ = 38417280.

The previous prime is 85446313. The next prime is 85446331. The reversal of 85446328 is 82364458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99276 + ... + 100132.

It is an arithmetic number, because the mean of its divisors is an integer number (3708705).

Almost surely, 285446328 is an apocalyptic number.

85446328 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 85446328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89008920).

85446328 is an abundant number, since it is smaller than the sum of its proper divisors (92571512).

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

85446328 is a wasteful number, since it uses less digits than its factorization.

85446328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 973 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 85446328 is about 9243.7182994724. The cubic root of 85446328 is about 440.4512038156.

The spelling of 85446328 in words is "eighty-five million, four hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 103 121 206 242 412 484 824 857 968 1133 1714 2266 3428 4532 6856 9064 9427 12463 18854 24926 37708 49852 75416 88271 99704 103697 176542 207394 353084 414788 706168 829576 970981 1941962 3883924 7767848 10680791 21361582 42723164 85446328