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4554445728 = 25372977991
BaseRepresentation
bin1000011110111011…
…10101001110100000
3102202101222211000010
410033131311032200
533311414230403
62031533324520
7220602102300
oct41735651640
912671884003
104554445728
111a27958538
12a71336740
1357775a601
14312c3d600
151b9c95603
hex10f7753a0

4554445728 has 144 divisors (see below), whose sum is σ = 13935608064. Its totient is φ = 1298626560.

The previous prime is 4554445697. The next prime is 4554445729. The reversal of 4554445728 is 8275444554.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4554445729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4595313 + ... + 4596303.

It is an arithmetic number, because the mean of its divisors is an integer number (96775056).

Almost surely, 24554445728 is an apocalyptic number.

4554445728 is a gapful number since it is divisible by the number (48) 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 4554445728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967804032).

4554445728 is an abundant number, since it is smaller than the sum of its proper divisors (9381162336).

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

4554445728 is a wasteful number, since it uses less digits than its factorization.

4554445728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1980 counting only the distinct ones).

The product of its digits is 3584000, while the sum is 48.

The square root of 4554445728 is about 67486.6336988296. The cubic root of 4554445728 is about 1657.5953143890.

The spelling of 4554445728 in words is "four billion, five hundred fifty-four million, four hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 977 991 1176 1568 1954 1982 2352 2931 2973 3908 3964 4704 5862 5946 6839 6937 7816 7928 11724 11892 13678 13874 15632 15856 20517 20811 23448 23784 27356 27748 31264 31712 41034 41622 46896 47568 47873 48559 54712 55496 82068 83244 93792 95136 95746 97118 109424 110992 143619 145677 164136 166488 191492 194236 218848 221984 287238 291354 328272 332976 382984 388472 574476 582708 656544 665952 765968 776944 968207 1148952 1165416 1531936 1553888 1936414 2297904 2330832 2904621 3872828 4595808 4661664 5809242 6777449 7745656 11618484 13554898 15491312 20332347 23236968 27109796 30982624 40664694 46473936 47442143 54219592 81329388 92947872 94884286 108439184 142326429 162658776 189768572 216878368 284652858 325317552 379537144 569305716 650635104 759074288 1138611432 1518148576 2277222864 4554445728