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5000624000 = 2753378447
BaseRepresentation
bin1001010100000111…
…10111011110000000
3110220111120000112022
410222003313132000
540220124432000
62144112421012
7234630413501
oct45203673600
913814500468
105000624000
1121367a3909
12b76847768
13619019918
143561c4ba8
151e402b585
hex12a0f7780

5000624000 has 128 divisors (see below), whose sum is σ = 12770334720. Its totient is φ = 1945958400.

The previous prime is 5000623997. The next prime is 5000624053. The reversal of 5000624000 is 4260005.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5000624000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587777 + ... + 596223.

It is an arithmetic number, because the mean of its divisors is an integer number (99768240).

Almost surely, 25000624000 is an apocalyptic number.

5000624000 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 5000624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385167360).

5000624000 is an abundant number, since it is smaller than the sum of its proper divisors (7769710720).

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

5000624000 is an equidigital number, since it uses as much as digits as its factorization.

5000624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8513 (or 8491 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5000624000 is about 70715.0903273127. The cubic root of 5000624000 is about 1710.0470787171.

Adding to 5000624000 its reverse (4260005), we get a palindrome (5004884005).

The spelling of 5000624000 in words is "five billion, six hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 128 148 160 185 200 250 296 320 370 400 500 592 640 740 800 925 1000 1184 1480 1600 1850 2000 2368 2960 3200 3700 4000 4625 4736 5920 7400 8000 8447 9250 11840 14800 16000 16894 18500 23680 29600 33788 37000 42235 59200 67576 74000 84470 118400 135152 148000 168940 211175 270304 296000 312539 337880 422350 540608 592000 625078 675760 844700 1055875 1081216 1250156 1351520 1562695 1689400 2111750 2500312 2703040 3125390 3378800 4223500 5000624 5406080 6250780 6757600 7813475 8447000 10001248 12501560 13515200 15626950 16894000 20002496 25003120 27030400 31253900 33788000 39067375 40004992 50006240 62507800 67576000 78134750 100012480 125015600 135152000 156269500 200024960 250031200 312539000 500062400 625078000 1000124800 1250156000 2500312000 5000624000