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5242424800 = 255224127191
BaseRepresentation
bin1001110000111100…
…10000110111100000
3111112100112202212111
410320132100313200
541214030043200
62224111205104
7243624606214
oct47036206740
914470482774
105242424800
112250237388
121023816794
1365714b312
1437a368944
1520a3910ba
hex138790de0

5242424800 has 72 divisors (see below), whose sum is σ = 12851646192. Its totient is φ = 2088192000.

The previous prime is 5242424797. The next prime is 5242424819. The reversal of 5242424800 is 84242425.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179205 + ... + 206395.

It is an arithmetic number, because the mean of its divisors is an integer number (178495086).

Almost surely, 25242424800 is an apocalyptic number.

5242424800 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 5242424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425823096).

5242424800 is an abundant number, since it is smaller than the sum of its proper divisors (7609221392).

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

5242424800 is a wasteful number, since it uses less digits than its factorization.

5242424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27452 (or 27439 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 5242424800 is about 72404.5910146587. The cubic root of 5242424800 is about 1737.1769963549.

The spelling of 5242424800 in words is "five billion, two hundred forty-two million, four hundred twenty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 241 400 482 800 964 1205 1928 2410 3856 4820 6025 7712 9640 12050 19280 24100 27191 38560 48200 54382 96400 108764 135955 192800 217528 271910 435056 543820 679775 870112 1087640 1359550 2175280 2719100 4350560 5438200 6553031 10876400 13106062 21752800 26212124 32765155 52424248 65530310 104848496 131060620 163825775 209696992 262121240 327651550 524242480 655303100 1048484960 1310606200 2621212400 5242424800