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5339438208 = 273213356533
BaseRepresentation
bin1001111100100000…
…10101110010000000
3111210010002120020200
410332100111302000
541413344010313
62241454405200
7246213322146
oct47620256200
914703076220
105339438208
11229aa78a55
121050200800
136712875c0
143891bd596
15213b55b73
hex13e415c80

5339438208 has 96 divisors (see below), whose sum is σ = 16546742940. Its totient is φ = 1642899456.

The previous prime is 5339438207. The next prime is 5339438257. The reversal of 5339438208 is 8028349335.

5339438208 is a `hidden beast` number, since 5 + 3 + 3 + 9 + 438 + 208 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4800826944 + 538611264 = 69288^2 + 23208^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5339438207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 163291 + ... + 193242.

Almost surely, 25339438208 is an apocalyptic number.

It is an amenable number.

5339438208 is an abundant number, since it is smaller than the sum of its proper divisors (11207304732).

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

5339438208 is a wasteful number, since it uses less digits than its factorization.

5339438208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356566 (or 356551 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5339438208 is about 73071.4595994907. The cubic root of 5339438208 is about 1747.8273126817.

The spelling of 5339438208 in words is "five billion, three hundred thirty-nine million, four hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 356533 713066 1069599 1426132 2139198 2852264 3208797 4278396 4634929 5704528 6417594 8556792 9269858 11409056 12835188 13904787 17113584 18539716 22818112 25670376 27809574 34227168 37079432 41714361 45636224 51340752 55619148 68454336 74158864 83428722 102681504 111238296 136908672 148317728 166857444 205363008 222476592 296635456 333714888 410726016 444953184 593270912 667429776 889906368 1334859552 1779812736 2669719104 5339438208