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4924669952 = 2151371097
BaseRepresentation
bin1001001011000100…
…01000000000000000
3110201012122011011102
410211202020000000
540041203414302
62132400433532
7233016001226
oct44542100000
913635564142
104924669952
1120a7936474
12b553188a8
13606374cb7
1434a092b16
151dc526702
hex125888000

4924669952 has 64 divisors (see below), whose sum is σ = 9930125340. Its totient is φ = 2442133504.

The previous prime is 4924669943. The next prime is 4924669957. The reversal of 4924669952 is 2599664294.

It can be written as a sum of positive squares in 2 ways, for example, as 4902240256 + 22429696 = 70016^2 + 4736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×49246699522 = 48504748272263364608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4924669957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4488668 + ... + 4489764.

Almost surely, 24924669952 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 4924669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965062670).

4924669952 is an abundant number, since it is smaller than the sum of its proper divisors (5005455388).

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

4924669952 is an equidigital number, since it uses as much as digits as its factorization.

4924669952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1236 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 56.

The square root of 4924669952 is about 70175.9927040580. The cubic root of 4924669952 is about 1701.3449508897.

The spelling of 4924669952 in words is "four billion, nine hundred twenty-four million, six hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1024 1096 1097 2048 2192 2194 4096 4384 4388 8192 8768 8776 16384 17536 17552 32768 35072 35104 70144 70208 140288 140416 150289 280576 280832 300578 561152 561664 601156 1122304 1123328 1202312 2244608 2246656 2404624 4489216 4493312 4809248 8986624 9618496 17973248 19236992 35946496 38473984 76947968 153895936 307791872 615583744 1231167488 2462334976 4924669952