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5258057728 = 21171133343
BaseRepresentation
bin1001110010110011…
…11001100000000000
3111120102222000012211
410321121321200000
541232030321403
62225430231504
7244204516240
oct47131714000
914512860184
105258057728
112259044660
121028ab5594
1365a462a81
1437c477b20
1520b92d06d
hex139679800

5258057728 has 96 divisors (see below), whose sum is σ = 13108193280. Its totient is φ = 2048532480.

The previous prime is 5258057723. The next prime is 5258057731. The reversal of 5258057728 is 8277508525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258057723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141025 + ... + 174367.

It is an arithmetic number, because the mean of its divisors is an integer number (136543680).

Almost surely, 25258057728 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 5258057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554096640).

5258057728 is an abundant number, since it is smaller than the sum of its proper divisors (7850135552).

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

5258057728 is a wasteful number, since it uses less digits than its factorization.

5258057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33383 (or 33363 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 49.

The square root of 5258057728 is about 72512.4660179200. The cubic root of 5258057728 is about 1738.9020386350.

The spelling of 5258057728 in words is "five billion, two hundred fifty-eight million, fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2048 2464 2816 3584 4928 5632 7168 9856 11264 14336 19712 22528 33343 39424 66686 78848 133372 157696 233401 266744 366773 466802 533488 733546 933604 1066976 1467092 1867208 2133952 2567411 2934184 3734416 4267904 5134822 5868368 7468832 8535808 10269644 11736736 14937664 17071616 20539288 23473472 29875328 34143232 41078576 46946944 59750656 68286464 82157152 93893888 119501312 164314304 187787776 239002624 328628608 375575552 478005248 657257216 751151104 1314514432 2629028864 5258057728