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4933905372 = 2234112947737
BaseRepresentation
bin1001001100001010…
…10110101111011100
3110201212000100210000
410212011112233130
540101034432442
62133330414300
7233160334524
oct44605265734
913655010700
104933905372
112102074150
12b58431390
13608259846
1434b3b8684
151dd24cd4c
hex126156bdc

4933905372 has 120 divisors (see below), whose sum is σ = 14556270960. Its totient is φ = 1443536640.

The previous prime is 4933905367. The next prime is 4933905377. The reversal of 4933905372 is 2735093394.

4933905372 is a `hidden beast` number, since 493 + 3 + 90 + 5 + 3 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (4933905367) and next prime (4933905377).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4933905377) 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 39 ways as a sum of consecutive naturals, for example, 79488 + ... + 127224.

It is an arithmetic number, because the mean of its divisors is an integer number (121302258).

Almost surely, 24933905372 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 4933905372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278135480).

4933905372 is an abundant number, since it is smaller than the sum of its proper divisors (9622365588).

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

4933905372 is a wasteful number, since it uses less digits than its factorization.

4933905372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47793 (or 47782 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 4933905372 is about 70241.7637307037. The cubic root of 4933905372 is about 1702.4078189528.

The spelling of 4933905372 in words is "four billion, nine hundred thirty-three million, nine hundred five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 261 297 319 324 348 396 522 594 638 783 891 957 1044 1188 1276 1566 1782 1914 2349 2871 3132 3564 3828 4698 5742 8613 9396 11484 17226 25839 34452 47737 51678 95474 103356 143211 190948 286422 429633 525107 572844 859266 1050214 1288899 1384373 1575321 1718532 2100428 2577798 2768746 3150642 3866697 4153119 4725963 5155596 5537492 6301284 7733394 8306238 9451926 12459357 14177889 15228103 15466788 16612476 18903852 24918714 28355778 30456206 37378071 42533667 45684309 49837428 56711556 60912412 74756142 85067334 91368618 112134213 137052927 149512284 170134668 182737236 224268426 274105854 411158781 448536852 548211708 822317562 1233476343 1644635124 2466952686 4933905372