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5257343988 = 22331337310039
BaseRepresentation
bin1001110010101110…
…01011001111110100
3111120101121202011000
410321113023033310
541231340001423
62225403043300
7244165454331
oct47127131764
914511552130
105257343988
1122586a7396
121028810530
1365a272c40
1437c32d988
1520b83b843
hex1395cb3f4

5257343988 has 96 divisors (see below), whose sum is σ = 14719443200. Its totient is φ = 1613146752.

The previous prime is 5257343983. The next prime is 5257343999. The reversal of 5257343988 is 8893437525.

5257343988 is a `hidden beast` number, since 525 + 7 + 3 + 4 + 39 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257343983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518673 + ... + 528711.

Almost surely, 25257343988 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 5257343988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359721600).

5257343988 is an abundant number, since it is smaller than the sum of its proper divisors (9462099212).

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

5257343988 is a wasteful number, since it uses less digits than its factorization.

5257343988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10430 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5257343988 is about 72507.5443522948. The cubic root of 5257343988 is about 1738.8233543142.

The spelling of 5257343988 in words is "five billion, two hundred fifty-seven million, three hundred forty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 373 468 702 746 1119 1404 1492 2238 3357 4476 4849 6714 9698 10039 10071 13428 14547 19396 20078 20142 29094 30117 40156 40284 43641 58188 60234 87282 90351 120468 130507 130923 174564 180702 261014 261846 271053 361404 391521 522028 523692 542106 783042 1084212 1174563 1566084 2349126 3523689 3744547 4698252 7047378 7489094 11233641 14094756 14978188 22467282 33700923 44934564 48679111 67401846 97358222 101102769 134803692 146037333 194716444 202205538 292074666 404411076 438111999 584149332 876223998 1314335997 1752447996 2628671994 5257343988