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48396582728 = 231323121932
BaseRepresentation
bin101101000100101010…
…010011111101001000
311121220211201010121222
4231010222103331020
51243104011121403
634122202421212
73332212110554
oct550452237510
9147824633558
1048396582728
1119585677a0a
129467b01808
13474380b700
1424b17ca864
1513d3c1d338
hexb44a93f48

48396582728 has 108 divisors (see below), whose sum is σ = 102061567755. Its totient is φ = 21504337920.

The previous prime is 48396582679. The next prime is 48396582733. The reversal of 48396582728 is 82728569384.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 740819524 + 47655763204 = 27218^2 + 218302^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=155558.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a Duffinian number.

Its product of digits (46448640) is a multiple of the sum of its prime factors (480).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 250759400 + ... + 250759592.

Almost surely, 248396582728 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 48396582728

48396582728 is an abundant number, since it is smaller than the sum of its proper divisors (53664985027).

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

48396582728 is a wasteful number, since it uses less digits than its factorization.

48396582728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 239 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 62.

The spelling of 48396582728 in words is "forty-eight billion, three hundred ninety-six million, five hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 193 248 338 386 403 676 772 806 961 1352 1544 1612 1922 2509 3224 3844 5018 5239 5983 7688 10036 10478 11966 12493 20072 20956 23932 24986 32617 37249 41912 47864 49972 65234 74498 77779 99944 130468 148996 155558 162409 185473 260936 297992 311116 324818 370946 484237 622232 649636 741892 968474 1011127 1154719 1299272 1483784 1936948 2022254 2309438 2411149 3873896 4044508 4618876 4822298 6295081 8089016 9237752 9644596 12590162 15011347 19289192 25180324 30022694 31344937 35796289 50360648 60045388 62689874 71592578 120090776 125379748 143185156 195147511 250759496 286370312 390295022 465351757 780590044 930703514 1561180088 1861407028 3722814056 6049572841 12099145682 24198291364 48396582728