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5218893824 = 217291373
BaseRepresentation
bin1001101110001001…
…00000000000000000
3111110201021021102212
410313010200000000
541142014100244
62221511001252
7243220602614
oct46704400000
914421237385
105218893824
112238a251a1
121017969228
136522cc971
143771a1344
15208293d9e
hex137120000

5218893824 has 72 divisors (see below), whose sum is σ = 10805534460. Its totient is φ = 2517630976.

The previous prime is 5218893811. The next prime is 5218893833. The reversal of 5218893824 is 4283988125.

It can be written as a sum of positive squares in 2 ways, for example, as 4602265600 + 616628224 = 67840^2 + 24832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3800402 + ... + 3801774.

Almost surely, 25218893824 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 5218893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402767230).

5218893824 is an abundant number, since it is smaller than the sum of its proper divisors (5586640636).

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

5218893824 is an frugal number, since it uses more digits than its factorization.

5218893824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1404 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 50.

The square root of 5218893824 is about 72241.9118240928. The cubic root of 5218893824 is about 1734.5739525877.

The spelling of 5218893824 in words is "five billion, two hundred eighteen million, eight hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1373 1856 2048 2746 3712 4096 5492 7424 8192 10984 14848 16384 21968 29696 32768 39817 43936 59392 65536 79634 87872 118784 131072 159268 175744 237568 318536 351488 475136 637072 702976 950272 1274144 1405952 1900544 2548288 2811904 3801088 5096576 5623808 10193152 11247616 20386304 22495232 40772608 44990464 81545216 89980928 163090432 179961856 326180864 652361728 1304723456 2609446912 5218893824