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4934766208 = 272911532
BaseRepresentation
bin1001001100010001…
…01000111010000000
3110201220122002121211
410212020220322000
540101300004313
62133401055504
7233200551331
oct44610507200
913656562554
104934766208
112102601989
12b58787594
1360849b608
1434b560288
151dd36ce3d
hex126228e80

4934766208 has 48 divisors (see below), whose sum is σ = 10178806950. Its totient is φ = 2380234752.

The previous prime is 4934766197. The next prime is 4934766211. The reversal of 4934766208 is 8026674394.

It can be written as a sum of positive squares in 3 ways, for example, as 4910085184 + 24681024 = 70072^2 + 4968^2 .

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 5 ways as a sum of consecutive naturals, for example, 4279360 + ... + 4280512.

Almost surely, 24934766208 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 4934766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089403475).

4934766208 is an abundant number, since it is smaller than the sum of its proper divisors (5244040742).

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

4934766208 is an frugal number, since it uses more digits than its factorization.

4934766208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The square root of 4934766208 is about 70247.8911284887. The cubic root of 4934766208 is about 1702.5068215755.

The spelling of 4934766208 in words is "four billion, nine hundred thirty-four million, seven hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1153 1856 2306 3712 4612 9224 18448 33437 36896 66874 73792 133748 147584 267496 534992 1069984 1329409 2139968 2658818 4279936 5317636 10635272 21270544 38552861 42541088 77105722 85082176 154211444 170164352 308422888 616845776 1233691552 2467383104 4934766208