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4947025248 = 25321110115461
BaseRepresentation
bin1001001101101110…
…11001110101100000
3110202202200220212100
410212313121311200
540112414301443
62134515530400
7233410010064
oct44667316540
913682626770
104947025248
112109515320
12b608b9a00
1360aba1499
1434d031aa4
151de4903d3
hex126dd9d60

4947025248 has 144 divisors (see below), whose sum is σ = 15499974672. Its totient is φ = 1484160000.

The previous prime is 4947025243. The next prime is 4947025249. The reversal of 4947025248 is 8425207494.

4947025248 is a `hidden beast` number, since 494 + 70 + 2 + 52 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4947025241) 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 23 ways as a sum of consecutive naturals, for example, 312238 + ... + 327698.

It is an arithmetic number, because the mean of its divisors is an integer number (107638713).

Almost surely, 24947025248 is an apocalyptic number.

4947025248 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 4947025248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749987336).

4947025248 is an abundant number, since it is smaller than the sum of its proper divisors (10552949424).

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

4947025248 is a wasteful number, since it uses less digits than its factorization.

4947025248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15589 (or 15578 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4947025248 is about 70335.0925783140. The cubic root of 4947025248 is about 1703.9154557009.

The spelling of 4947025248 in words is "four billion, nine hundred forty-seven million, twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 101 132 144 176 198 202 264 288 303 352 396 404 528 606 792 808 909 1056 1111 1212 1584 1616 1818 2222 2424 3168 3232 3333 3636 4444 4848 6666 7272 8888 9696 9999 13332 14544 15461 17776 19998 26664 29088 30922 35552 39996 46383 53328 61844 79992 92766 106656 123688 139149 159984 170071 185532 247376 278298 319968 340142 371064 494752 510213 556596 680284 742128 1020426 1113192 1360568 1484256 1530639 1561561 2040852 2226384 2721136 3061278 3123122 4081704 4452768 4684683 5442272 6122556 6246244 8163408 9369366 12245112 12492488 14054049 16326816 17177171 18738732 24490224 24984976 28108098 34354342 37477464 48980448 49969952 51531513 56216196 68708684 74954928 103063026 112432392 137417368 149909856 154594539 206126052 224864784 274834736 309189078 412252104 449729568 549669472 618378156 824504208 1236756312 1649008416 2473512624 4947025248