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4936285728 = 2532111982009
BaseRepresentation
bin1001001100011100…
…11011111000100000
3110202000111022000100
410212032123320200
540102142120403
62133453422400
7233216510403
oct44616337040
913660438010
104936285728
11210344a590
12b5919aa00
136088b113a
1434b837d3a
151dd56d2a3
hex12639be20

4936285728 has 144 divisors (see below), whose sum is σ = 16119885600. Its totient is φ = 1417098240.

The previous prime is 4936285723. The next prime is 4936285729. The reversal of 4936285728 is 8275826394.

4936285728 is a `hidden beast` number, since 4 + 9 + 3 + 62 + 8 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4936285723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19188 + ... + 101196.

It is an arithmetic number, because the mean of its divisors is an integer number (111943650).

Almost surely, 24936285728 is an apocalyptic number.

4936285728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4936285728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059942800).

4936285728 is an abundant number, since it is smaller than the sum of its proper divisors (11183599872).

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

4936285728 is a wasteful number, since it uses less digits than its factorization.

4936285728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82055 (or 82044 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4936285728 is about 70258.7057096841. The cubic root of 4936285728 is about 1702.6815497234.

The spelling of 4936285728 in words is "four billion, nine hundred thirty-six million, two hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 82009 164018 246027 328036 492054 656072 738081 902099 984108 1312144 1476162 1558171 1804198 1968216 2624288 2706297 2952324 3116342 3608396 3936432 4674513 5412594 5904648 6232684 7216792 7872864 8118891 9349026 10825188 11809296 12465368 14023539 14433584 16237782 17139881 18698052 21650376 23618592 24930736 28047078 28867168 32475564 34279762 37396104 43300752 49861472 51419643 56094156 64951128 68559524 74792208 86601504 102839286 112188312 129902256 137119048 149584416 154258929 205678572 224376624 259804512 274238096 308517858 411357144 448753248 548476192 617035716 822714288 1234071432 1645428576 2468142864 4936285728