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5389680640 = 2225257
BaseRepresentation
bin1010000010100000…
…00000000000000000
3111220121122010220111
411001100000000000
542014224240030
62250451321104
7250363346431
oct50120000000
914817563814
105389680640
112316374923
121064bb0194
1367b7c9156
14391b3b488
1521827c62a
hex141400000

5389680640 has 92 divisors (see below), whose sum is σ = 12985563636. Its totient is φ = 2147483648.

The previous prime is 5389680631. The next prime is 5389680649. The reversal of 5389680640 is 460869835.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5389680631) and next prime (5389680649).

It can be written as a sum of positive squares in 2 ways, for example, as 4030726144 + 1358954496 = 63488^2 + 36864^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5389680649) by changing a digit.

In principle, a polygon with 5389680640 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20971392 + ... + 20971648.

Almost surely, 25389680640 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 5389680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492781818).

5389680640 is an abundant number, since it is smaller than the sum of its proper divisors (7595882996).

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

5389680640 is an frugal number, since it uses more digits than its factorization.

5389680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 5389680640 is about 73414.4443553174. Note that the first 3 decimals coincide. The cubic root of 5389680640 is about 1753.2923750434.

The spelling of 5389680640 in words is "five billion, three hundred eighty-nine million, six hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 257 320 512 514 640 1024 1028 1280 1285 2048 2056 2560 2570 4096 4112 5120 5140 8192 8224 10240 10280 16384 16448 20480 20560 32768 32896 40960 41120 65536 65792 81920 82240 131072 131584 163840 164480 262144 263168 327680 328960 524288 526336 655360 657920 1048576 1052672 1310720 1315840 2097152 2105344 2621440 2631680 4194304 4210688 5242880 5263360 8421376 10485760 10526720 16842752 20971520 21053440 33685504 42106880 67371008 84213760 134742016 168427520 269484032 336855040 538968064 673710080 1077936128 1347420160 2694840320 5389680640