Search a number
-
+
5000503008 = 253411976449
BaseRepresentation
bin1001010100000110…
…11001111011100000
3110220111022212120010
410222003121323200
540220112044013
62144110044520
7234626400654
oct45203317340
913814285503
105000503008
112136720a16
12b767a9740
13618ca6827
14356192a64
151e40057c3
hex12a0d9ee0

5000503008 has 96 divisors (see below), whose sum is σ = 13516826400. Its totient is φ = 1617674240.

The previous prime is 5000502977. The next prime is 5000503021. The reversal of 5000503008 is 8003050005.

It is a tau number, because it is divible by the number of its divisors (96).

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, 772168 + ... + 778616.

It is an arithmetic number, because the mean of its divisors is an integer number (140800275).

Almost surely, 25000503008 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 5000503008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758413200).

5000503008 is an abundant number, since it is smaller than the sum of its proper divisors (8516323392).

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

5000503008 is a wasteful number, since it uses less digits than its factorization.

5000503008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5000503008 is about 70714.2348328821. The cubic root of 5000503008 is about 1710.0332868593.

The spelling of 5000503008 in words is "five billion, five hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 197 246 328 394 492 591 656 788 984 1182 1312 1576 1968 2364 3152 3936 4728 6304 6449 8077 9456 12898 16154 18912 19347 24231 25796 32308 38694 48462 51592 64616 77388 96924 103184 129232 154776 193848 206368 258464 264409 309552 387696 528818 619104 775392 793227 1057636 1270453 1586454 2115272 2540906 3172908 3811359 4230544 5081812 6345816 7622718 8461088 10163624 12691632 15245436 20327248 25383264 30490872 40654496 52088573 60981744 104177146 121963488 156265719 208354292 312531438 416708584 625062876 833417168 1250125752 1666834336 2500251504 5000503008