Search a number
-
+
5259757024 = 2517231632579
BaseRepresentation
bin1001110011000000…
…11000010111100000
3111120120011100012201
410321200120113200
541232444211044
62225530502544
7244225124404
oct47140302740
914516140181
105259757024
112259aa5335
121029594a54
1365a909382
1437c79b104
1520bb667d4
hex1398185e0

5259757024 has 96 divisors (see below), whose sum is σ = 11515633920. Its totient is φ = 2352125952.

The previous prime is 5259756923. The next prime is 5259757031. The reversal of 5259757024 is 4207579525.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2038167 + ... + 2040745.

It is an arithmetic number, because the mean of its divisors is an integer number (119954520).

Almost surely, 25259757024 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 5259757024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757816960).

5259757024 is an abundant number, since it is smaller than the sum of its proper divisors (6255876896).

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

5259757024 is a wasteful number, since it uses less digits than its factorization.

5259757024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The square root of 5259757024 is about 72524.1823394101. The cubic root of 5259757024 is about 1739.0893442376.

The spelling of 5259757024 in words is "five billion, two hundred fifty-nine million, seven hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 163 184 272 326 368 391 544 652 736 782 1304 1564 2579 2608 2771 3128 3749 5158 5216 5542 6256 7498 10316 11084 12512 14996 20632 22168 29992 41264 43843 44336 59317 59984 63733 82528 87686 88672 118634 119968 127466 175372 237268 254932 350744 420377 474536 509864 701488 840754 949072 1008389 1019728 1402976 1681508 1898144 2016778 2039456 3363016 4033556 6726032 7146409 8067112 9668671 13452064 14292818 16134224 19337342 28585636 32268448 38674684 57171272 77349368 114342544 154698736 164367407 228685088 309397472 328734814 657469628 1314939256 2629878512 5259757024