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54325128 = 233112131439
BaseRepresentation
bin1100111100111…
…0111110001000
310210020000001210
43033032332020
5102401401003
65220213120
71226520204
oct317167610
9123200053
1054325128
1128735300
121623a1a0
13b340c60
147301b04
154b81503
hex33cef88

54325128 has 96 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 15185280.

The previous prime is 54325111. The next prime is 54325147. The reversal of 54325128 is 82152345.

It is a junction number, because it is equal to n+sod(n) for n = 54325095 and 54325104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37033 + ... + 38471.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 254325128 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 54325128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

54325128 is an abundant number, since it is smaller than the sum of its proper divisors (106551672).

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

54325128 is a wasteful number, since it uses less digits than its factorization.

54325128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1468 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 54325128 is about 7370.5581878173. The cubic root of 54325128 is about 378.7333820547.

The spelling of 54325128 in words is "fifty-four million, three hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 858 968 1144 1439 1452 1573 1716 2878 2904 3146 3432 4317 4719 5756 6292 8634 9438 11512 12584 15829 17268 18707 18876 31658 34536 37414 37752 47487 56121 63316 74828 94974 112242 126632 149656 174119 189948 205777 224484 348238 379896 411554 448968 522357 617331 696476 823108 1044714 1234662 1392952 1646216 2089428 2263547 2469324 4178856 4527094 4938648 6790641 9054188 13581282 18108376 27162564 54325128