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5032419224 = 237317140829
BaseRepresentation
bin1001010111111010…
…01001111110011000
3110222201101101101012
410223331021332120
540301244403344
62151210113052
7235464600110
oct45375117630
913881341335
105032419224
112152740058
12b8541b788
1362279ca71
1435a500040
151e6c0c29e
hex12bf49f98

5032419224 has 64 divisors (see below), whose sum is σ = 11288678400. Its totient is φ = 2057731200.

The previous prime is 5032419199. The next prime is 5032419239. The reversal of 5032419224 is 4229142305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102842 + ... + 143670.

It is an arithmetic number, because the mean of its divisors is an integer number (176385600).

Almost surely, 25032419224 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 5032419224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644339200).

5032419224 is an abundant number, since it is smaller than the sum of its proper divisors (6256259176).

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

5032419224 is a wasteful number, since it uses less digits than its factorization.

5032419224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40944 (or 40940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5032419224 is about 70939.5462629978. The cubic root of 5032419224 is about 1713.6637273412.

The spelling of 5032419224 in words is "five billion, thirty-two million, four hundred nineteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 71 124 142 217 248 284 434 497 568 868 994 1736 1988 2201 3976 4402 8804 15407 17608 30814 40829 61628 81658 123256 163316 285803 326632 571606 1143212 1265699 2286424 2531398 2898859 5062796 5797718 8859893 10125592 11595436 17719786 20292013 23190872 35439572 40584026 70879144 81168052 89864629 162336104 179729258 359458516 629052403 718917032 1258104806 2516209612 5032419224