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4253344000 = 2853235779
BaseRepresentation
bin1111110110000100…
…1110000100000000
3101222102102021002021
43331201032010000
532202324002000
61542015531224
7210254553553
oct37541160400
911872367067
104253344000
1118929a1334
129a8529b14
1352a2651c9
142c4c6069a
1519d61a11a
hexfd84e100

4253344000 has 144 divisors (see below), whose sum is σ = 11058203520. Its totient is φ = 1627084800.

The previous prime is 4253343989. The next prime is 4253344003. The reversal of 4253344000 is 4433524.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4253344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733111 + ... + 738889.

It is an arithmetic number, because the mean of its divisors is an integer number (76793080).

Almost surely, 24253344000 is an apocalyptic number.

4253344000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529101760).

4253344000 is an abundant number, since it is smaller than the sum of its proper divisors (6804859520).

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

4253344000 is an equidigital number, since it uses as much as digits as its factorization.

4253344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 4253344000 is about 65217.6663182607. Note that the first 3 decimals coincide. The cubic root of 4253344000 is about 1620.2306230629.

Adding to 4253344000 its reverse (4433524), we get a palindrome (4257777524).

The spelling of 4253344000 in words is "four billion, two hundred fifty-three million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 575 640 736 800 920 1000 1150 1280 1472 1600 1840 2000 2300 2875 2944 3200 3680 4000 4600 5750 5779 5888 6400 7360 8000 9200 11500 11558 14720 16000 18400 23000 23116 28895 29440 32000 36800 46000 46232 57790 73600 92000 92464 115580 132917 144475 147200 184000 184928 231160 265834 288950 368000 369856 462320 531668 577900 664585 722375 736000 739712 924640 1063336 1155800 1329170 1444750 1479424 1849280 2126672 2311600 2658340 2889500 3322925 3698560 4253344 4623200 5316680 5779000 6645850 7397120 8506688 9246400 10633360 11558000 13291700 16614625 17013376 18492800 21266720 23116000 26583400 33229250 34026752 36985600 42533440 46232000 53166800 66458500 85066880 92464000 106333600 132917000 170133760 184928000 212667200 265834000 425334400 531668000 850668800 1063336000 2126672000 4253344000