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5041424000 = 2753487647
BaseRepresentation
bin1001011000111111…
…00000011010000000
3111000100022212121102
410230133200122000
540311101032000
62152131113532
7235634253104
oct45437403200
914010285542
105041424000
112157830518
12b884428a8
13624603632
1435b7a5904
151e78da3d5
hex12c7e0680

5041424000 has 128 divisors (see below), whose sum is σ = 12579390720. Its totient is φ = 2009318400.

The previous prime is 5041423999. The next prime is 5041424023. The reversal of 5041424000 is 4241405.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 7791677 + ... + 7792323.

It is an arithmetic number, because the mean of its divisors is an integer number (98276490).

Almost surely, 25041424000 is an apocalyptic number.

5041424000 is a gapful number since it is divisible by the number (50) 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 5041424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289695360).

5041424000 is an abundant number, since it is smaller than the sum of its proper divisors (7537966720).

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

5041424000 is an equidigital number, since it uses as much as digits as its factorization.

5041424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 5041424000 is about 71002.9858527090. The cubic root of 5041424000 is about 1714.6852349253.

Adding to 5041424000 its reverse (4241405), we get a palindrome (5045665405).

The spelling of 5041424000 in words is "five billion, forty-one million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 487 500 640 647 800 974 1000 1294 1600 1948 2000 2435 2588 3200 3235 3896 4000 4870 5176 6470 7792 8000 9740 10352 12175 12940 15584 16000 16175 19480 20704 24350 25880 31168 32350 38960 41408 48700 51760 60875 62336 64700 77920 80875 82816 97400 103520 121750 129400 155840 161750 194800 207040 243500 258800 311680 315089 323500 389600 414080 487000 517600 630178 647000 779200 974000 1035200 1260356 1294000 1558400 1575445 1948000 2070400 2520712 2588000 3150890 3896000 5041424 5176000 6301780 7792000 7877225 10082848 10352000 12603560 15754450 20165696 25207120 31508900 39386125 40331392 50414240 63017800 78772250 100828480 126035600 157544500 201656960 252071200 315089000 504142400 630178000 1008284800 1260356000 2520712000 5041424000