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8485128 = 2333163241
BaseRepresentation
bin100000010111…
…100100001000
3120222002102000
4200113210020
54133011003
6501511000
7132056661
oct40274410
916862360
108485128
114876003
122a12460
1319b11b2
1411ac368
15b291a3
hex817908

8485128 has 64 divisors (see below), whose sum is σ = 23812800. Its totient is φ = 2799360.

The previous prime is 8485123. The next prime is 8485129. The reversal of 8485128 is 8215848.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8485092 and 8485101.

It is not an unprimeable number, because it can be changed into a prime (8485123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35088 + ... + 35328.

It is an arithmetic number, because the mean of its divisors is an integer number (372075).

Almost surely, 28485128 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 8485128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11906400).

8485128 is an abundant number, since it is smaller than the sum of its proper divisors (15327672).

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

8485128 is a wasteful number, since it uses less digits than its factorization.

8485128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 8485128 is about 2912.9243038569. The cubic root of 8485128 is about 203.9636613474.

Subtracting from 8485128 its product of digits (20480), we obtain a palindrome (8464648).

The spelling of 8485128 in words is "eight million, four hundred eighty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 241 326 482 489 652 723 964 978 1304 1446 1467 1928 1956 2169 2892 2934 3912 4338 4401 5784 5868 6507 8676 8802 11736 13014 17352 17604 26028 35208 39283 52056 78566 117849 157132 235698 314264 353547 471396 707094 942792 1060641 1414188 2121282 2828376 4242564 8485128