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4825247296 = 261924572
BaseRepresentation
bin1000111111001101…
…10110111001000000
3110110021112221220211
410133212312321000
534340230403141
62114445443504
7230400632242
oct43746667100
913407487824
104825247296
1120567a9791
12b27b70594
135bb8a421c
1433abb2092
151d3937d81
hex11f9b6e40

4825247296 has 63 divisors (see below), whose sum is σ = 10127737809. Its totient is φ = 2280642048.

The previous prime is 4825247281. The next prime is 4825247299. The reversal of 4825247296 is 6927425284.

The square root of 4825247296 is 69464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4173160000 + 652087296 = 64600^2 + 25536^2 .

It is a super-2 number, since 2×48252472962 = 46566022935110623232, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4825247299) 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 8 ways as a sum of consecutive naturals, for example, 10558300 + ... + 10558756.

It is an arithmetic number, because the mean of its divisors is an integer number (160757743).

Almost surely, 24825247296 is an apocalyptic number.

4825247296 is the 69464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4825247296

4825247296 is an abundant number, since it is smaller than the sum of its proper divisors (5302490513).

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

4825247296 is an frugal number, since it uses more digits than its factorization.

4825247296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 478 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The cubic root of 4825247296 is about 1689.8177150124.

Multiplying 4825247296 by its sum of digits (49), we get a square (236437117504 = 4862482).

The spelling of 4825247296 in words is "four billion, eight hundred twenty-five million, two hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 457 608 722 914 1216 1444 1828 2888 3656 5776 7312 8683 11552 14624 17366 23104 29248 34732 69464 138928 164977 208849 277856 329954 417698 555712 659908 835396 1319816 1670792 2639632 3341584 3968131 5279264 6683168 7936262 10558528 13366336 15872524 31745048 63490096 75394489 126980192 150788978 253960384 301577956 603155912 1206311824 2412623648 4825247296