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5339073408 = 27317380369
BaseRepresentation
bin1001111100011101…
…11100101110000000
3111210002102000211120
410332032330232000
541413300322113
62241442512240
7246210242454
oct47616745600
914702360746
105339073408
11229a849969
121050065680
1367118a546
14389126664
15213ad2a23
hex13e3bcb80

5339073408 has 64 divisors (see below), whose sum is σ = 14264067600. Its totient is φ = 1769381888.

The previous prime is 5339073403. The next prime is 5339073419. The reversal of 5339073408 is 8043709335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5339073408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5339073401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26248 + ... + 106616.

Almost surely, 25339073408 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 5339073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132033800).

5339073408 is an abundant number, since it is smaller than the sum of its proper divisors (8924994192).

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

5339073408 is a wasteful number, since it uses less digits than its factorization.

5339073408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80559 (or 80547 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 5339073408 is about 73068.9633702299. The cubic root of 5339073408 is about 1747.7875068756.

The spelling of 5339073408 in words is "five billion, three hundred thirty-nine million, seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 33216 66432 80369 160738 241107 321476 482214 642952 964428 1285904 1928856 2571808 3857712 5143616 7715424 10287232 13903837 15430848 27807674 30861696 41711511 55615348 83423022 111230696 166846044 222461392 333692088 444922784 667384176 889845568 1334768352 1779691136 2669536704 5339073408