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4930002144 = 25341902007
BaseRepresentation
bin1001001011101100…
…11101110011100000
3110201120200001120000
410211312131303200
540044040032034
62133111020000
7233112220044
oct44566356340
913646601500
104930002144
1120aa948641
12b5706a600
136074c1042
1434aa80024
151dcc2b599
hex125d9dce0

4930002144 has 60 divisors (see below), whose sum is σ = 14499006984. Its totient is φ = 1643333184.

The previous prime is 4930002089. The next prime is 4930002169. The reversal of 4930002144 is 4412000394.

It is a super-2 number, since 2×49300021442 = 48609842279689193472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 948412 + ... + 953595.

Almost surely, 24930002144 is an apocalyptic number.

It is an amenable number.

4930002144 is an abundant number, since it is smaller than the sum of its proper divisors (9569004840).

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

4930002144 is a wasteful number, since it uses less digits than its factorization.

4930002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902029 (or 1902012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4930002144 is about 70213.9739937856. The cubic root of 4930002144 is about 1701.9587737983.

The spelling of 4930002144 in words is "four billion, nine hundred thirty million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1902007 3804014 5706021 7608028 11412042 15216056 17118063 22824084 30432112 34236126 45648168 51354189 60864224 68472252 91296336 102708378 136944504 154062567 182592672 205416756 273889008 308125134 410833512 547778016 616250268 821667024 1232500536 1643334048 2465001072 4930002144