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4917893472 = 253221180929
BaseRepresentation
bin1001001010010000…
…10001100101100000
3110200201212212120200
410211020101211200
540032440042342
62131555305200
7232604255562
oct44510214540
913621785520
104917893472
1120a4028178
12b52bab200
13604b4174b
1434920b332
151dbb3894c
hex125211960

4917893472 has 72 divisors (see below), whose sum is σ = 14051714040. Its totient is φ = 1631508480.

The previous prime is 4917893441. The next prime is 4917893503. The reversal of 4917893472 is 2743987194.

4917893472 is a `hidden beast` number, since 4 + 91 + 7 + 89 + 3 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (4917893441) and next prime (4917893503).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20304 + ... + 101232.

It is an arithmetic number, because the mean of its divisors is an integer number (195162695).

Almost surely, 24917893472 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 4917893472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025857020).

4917893472 is an abundant number, since it is smaller than the sum of its proper divisors (9133820568).

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

4917893472 is a wasteful number, since it uses less digits than its factorization.

4917893472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81156 (or 81145 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 4917893472 is about 70127.6940445071. The cubic root of 4917893472 is about 1700.5642270155.

The spelling of 4917893472 in words is "four billion, nine hundred seventeen million, eight hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 15192 20256 30384 60768 80929 161858 242787 323716 485574 647432 728361 971148 1294864 1456722 1942296 2589728 2913444 3884592 5826888 7769184 11653776 17076019 23307552 34152038 51228057 68304076 102456114 136608152 153684171 204912228 273216304 307368342 409824456 546432608 614736684 819648912 1229473368 1639297824 2458946736 4917893472