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5806756752 = 243474196143
BaseRepresentation
bin1010110100001110…
…00001001110010000
3112222200102210202220
411122013001032100
543343012204002
62400110541040
7263616421656
oct53207011620
915880383686
105806756752
11250a843325
121160807780
13717039054
143d12a8dd6
1523ebb57bc
hex15a1c1390

5806756752 has 80 divisors (see below), whose sum is σ = 15359016960. Its totient is φ = 1889574016.

The previous prime is 5806756751. The next prime is 5806756771. The reversal of 5806756752 is 2576576085.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5806756695 and 5806756704.

It is not an unprimeable number, because it can be changed into a prime (5806756751) 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 15 ways as a sum of consecutive naturals, for example, 942193 + ... + 948335.

It is an arithmetic number, because the mean of its divisors is an integer number (191987712).

Almost surely, 25806756752 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 5806756752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679508480).

5806756752 is an abundant number, since it is smaller than the sum of its proper divisors (9552260208).

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

5806756752 is a wasteful number, since it uses less digits than its factorization.

5806756752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The square root of 5806756752 is about 76202.0783968521. The cubic root of 5806756752 is about 1797.3992019733.

The spelling of 5806756752 in words is "five billion, eight hundred six million, seven hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 419 564 752 838 1128 1257 1676 2256 2514 3352 5028 6143 6704 10056 12286 18429 19693 20112 24572 36858 39386 49144 59079 73716 78772 98288 118158 147432 157544 236316 288721 294864 315088 472632 577442 866163 945264 1154884 1732326 2309768 2573917 3464652 4619536 5147834 6929304 7721751 10295668 13858608 15443502 20591336 30887004 41182672 61774008 120974099 123548016 241948198 362922297 483896396 725844594 967792792 1451689188 1935585584 2903378376 5806756752