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5257143424 = 271323913219
BaseRepresentation
bin1001110010101100…
…11010010010000000
3111120101020120000201
410321112122102000
541231312042144
62225354454544
7244163660521
oct47126322200
914511216021
105257143424
11225857a735
121028734454
1365a202870
1437c2ba848
1520b7ec1d4
hex13959a480

5257143424 has 64 divisors (see below), whose sum is σ = 11326896000. Its totient is φ = 2416038912.

The previous prime is 5257143413. The next prime is 5257143431. The reversal of 5257143424 is 4243417525.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 391087 + ... + 404305.

It is an arithmetic number, because the mean of its divisors is an integer number (176982750).

Almost surely, 25257143424 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 5257143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663448000).

5257143424 is an abundant number, since it is smaller than the sum of its proper divisors (6069752576).

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

5257143424 is a wasteful number, since it uses less digits than its factorization.

5257143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13485 (or 13473 counting only the distinct ones).

The product of its digits is 134400, while the sum is 37.

The square root of 5257143424 is about 72506.1612830248. The cubic root of 5257143424 is about 1738.8012424010.

The spelling of 5257143424 in words is "five billion, two hundred fifty-seven million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 239 416 478 832 956 1664 1912 3107 3824 6214 7648 12428 13219 15296 24856 26438 30592 49712 52876 99424 105752 171847 198848 211504 343694 397696 423008 687388 846016 1374776 1692032 2749552 3159341 5499104 6318682 10998208 12637364 21996416 25274728 41071433 50549456 82142866 101098912 164285732 202197824 328571464 404395648 657142928 1314285856 2628571712 5257143424