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5038750224 = 2432172578009
BaseRepresentation
bin1001011000101010…
…10011101000010000
3111000011022000212200
410230111103220100
540304410001344
62151553523200
7235602445614
oct45425235020
914004260780
105038750224
112156274692
12b87573500
13623ba8611
1435b2ab344
151e755d069
hex12c553a10

5038750224 has 120 divisors (see below), whose sum is σ = 14990971320. Its totient is φ = 1574436864.

The previous prime is 5038750217. The next prime is 5038750237. The reversal of 5038750224 is 4220578305.

5038750224 is a `hidden beast` number, since 5 + 0 + 387 + 50 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3310851600 + 1727898624 = 57540^2 + 41568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 625132 + ... + 633140.

It is an arithmetic number, because the mean of its divisors is an integer number (124924761).

Almost surely, 25038750224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5038750224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495485660).

5038750224 is an abundant number, since it is smaller than the sum of its proper divisors (9952221096).

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

5038750224 is a wasteful number, since it uses less digits than its factorization.

5038750224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5038750224 is about 70984.1547389275. The cubic root of 5038750224 is about 1714.3820471104.

The spelling of 5038750224 in words is "five billion, thirty-eight million, seven hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 257 272 306 408 514 612 771 816 1028 1224 1542 2056 2313 2448 3084 4112 4369 4626 6168 8009 8738 9252 12336 13107 16018 17476 18504 24027 26214 32036 34952 37008 39321 48054 52428 64072 69904 72081 78642 96108 104856 128144 136153 144162 157284 192216 209712 272306 288324 314568 384432 408459 544612 576648 629136 816918 1089224 1153296 1225377 1633836 2058313 2178448 2450754 3267672 4116626 4901508 6174939 6535344 8233252 9803016 12349878 16466504 18524817 19606032 24699756 32933008 34991321 37049634 49399512 69982642 74099268 98799024 104973963 139965284 148198536 209947926 279930568 296397072 314921889 419895852 559861136 629843778 839791704 1259687556 1679583408 2519375112 5038750224