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5258032384 = 281113031433
BaseRepresentation
bin1001110010110011…
…10011010100000000
3111120102220201110011
410321121303110000
541232024014014
62225425514304
7244204352323
oct47131632400
914512821404
105258032384
112259027610
121028aa2994
1365a454387
1437c46c7ba
1520b9257c4
hex139673500

5258032384 has 72 divisors (see below), whose sum is σ = 11466447552. Its totient is φ = 2386513920.

The previous prime is 5258032333. The next prime is 5258032399. The reversal of 5258032384 is 4832308525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3668532 + ... + 3669964.

It is an arithmetic number, because the mean of its divisors is an integer number (159256216).

Almost surely, 25258032384 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 5258032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733223776).

5258032384 is an abundant number, since it is smaller than the sum of its proper divisors (6208415168).

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

5258032384 is a wasteful number, since it uses less digits than its factorization.

5258032384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 5258032384 is about 72512.2912615510. The cubic root of 5258032384 is about 1738.8992447767.

The spelling of 5258032384 in words is "five billion, two hundred fifty-eight million, thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1303 1408 1433 2606 2816 2866 5212 5732 10424 11464 14333 15763 20848 22928 28666 31526 41696 45856 57332 63052 83392 91712 114664 126104 166784 183424 229328 252208 333568 366848 458656 504416 917312 1008832 1834624 1867199 2017664 3669248 3734398 4035328 7468796 14937592 20539189 29875184 41078378 59750368 82156756 119500736 164313512 239001472 328627024 478002944 657254048 1314508096 2629016192 5258032384