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5184000024 = 233760151343
BaseRepresentation
bin1001101001111110…
…11001000000011000
3111101021121111010220
410310333121000120
541104101000044
62214223040040
7242315162460
oct46477310030
914337544126
105184000024
112220261a45
121008140020
13648003348
143726baba0
152051a0019
hex134fd9018

5184000024 has 64 divisors (see below), whose sum is σ = 14836362240. Its totient is φ = 1478649600.

The previous prime is 5184000023. The next prime is 5184000083. The reversal of 5184000024 is 4200004815.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5183999958 and 5184000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5184000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75297 + ... + 126639.

It is an arithmetic number, because the mean of its divisors is an integer number (231818160).

Almost surely, 25184000024 is an apocalyptic number.

It is an amenable number.

5184000024 is an abundant number, since it is smaller than the sum of its proper divisors (9652362216).

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

5184000024 is a wasteful number, since it uses less digits than its factorization.

5184000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51960 (or 51956 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5184000024 is about 72000.0001666667. Note that the first 3 decimals coincide. The cubic root of 5184000024 is about 1730.6994870397.

Subtracting from 5184000024 its sum of digits (24), we obtain a square (5184000000 = 720002).

Adding to 5184000024 its reverse (4200004815), we get a palindrome (9384004839).

The spelling of 5184000024 in words is "five billion, one hundred eighty-four million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 601 1202 1803 2404 3606 4207 4808 7212 8414 12621 14424 16828 25242 33656 50484 51343 100968 102686 154029 205372 308058 359401 410744 616116 718802 1078203 1232232 1437604 2156406 2875208 4312812 8625624 30857143 61714286 92571429 123428572 185142858 216000001 246857144 370285716 432000002 648000003 740571432 864000004 1296000006 1728000008 2592000012 5184000024