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4498791296 = 272233972
BaseRepresentation
bin1000011000010011…
…00001101110000000
3102121112021021110212
410030021201232000
533203142310141
62022224413252
7216325044416
oct41411415600
912545237425
104498791296
1119a94a553a
12a56777228
135690725ac
143096b32b6
151b4e502eb
hex10c261b80

4498791296 has 48 divisors (see below), whose sum is σ = 9025359840. Its totient is φ = 2233668096.

The previous prime is 4498791293. The next prime is 4498791299. The reversal of 4498791296 is 6921978944.

It is an interprime number because it is at equal distance from previous prime (4498791293) and next prime (4498791299).

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4498791293) by changing a digit.

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, 11331770 + ... + 11332166.

It is an arithmetic number, because the mean of its divisors is an integer number (188028330).

Almost surely, 24498791296 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 4498791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512679920).

4498791296 is an abundant number, since it is smaller than the sum of its proper divisors (4526568544).

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

4498791296 is an frugal number, since it uses more digits than its factorization.

4498791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 622 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 59.

The square root of 4498791296 is about 67073.0295722506. The cubic root of 4498791296 is about 1650.8157944451.

The spelling of 4498791296 in words is "four billion, four hundred ninety-eight million, seven hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 223 397 446 794 892 1588 1784 3176 3568 6352 7136 12704 14272 25408 28544 50816 88531 157609 177062 315218 354124 630436 708248 1260872 1416496 2521744 2832992 5043488 5665984 10086976 11331968 20173952 35146807 70293614 140587228 281174456 562348912 1124697824 2249395648 4498791296