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4741864448 = 21018112557
BaseRepresentation
bin1000110101010001…
…10001110000000000
3110020110122200011012
410122220301300000
534202404130243
62102310340052
7225336116456
oct43250616000
913213580135
104741864448
112013727a42
12b0405a628
135a752b169
1432daa89d6
151cb466d18
hex11aa31c00

4741864448 has 44 divisors (see below), whose sum is σ = 9488041512. Its totient is φ = 2368696320.

The previous prime is 4741864411. The next prime is 4741864493. The reversal of 4741864448 is 8444681474.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4741864396 and 4741864405.

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 3 ways as a sum of consecutive naturals, for example, 1853186 + ... + 1855742.

Almost surely, 24741864448 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 4741864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744020756).

4741864448 is an abundant number, since it is smaller than the sum of its proper divisors (4746177064).

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

4741864448 is a wasteful number, since it uses less digits than its factorization.

4741864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4370 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 50.

The square root of 4741864448 is about 68861.1969689752. The cubic root of 4741864448 is about 1680.0274523103.

The spelling of 4741864448 in words is "four billion, seven hundred forty-one million, eight hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1811 2557 3622 5114 7244 10228 14488 20456 28976 40912 57952 81824 115904 163648 231808 327296 463616 654592 927232 1309184 1854464 2618368 4630727 9261454 18522908 37045816 74091632 148183264 296366528 592733056 1185466112 2370932224 4741864448