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5142526500 = 2235329118219
BaseRepresentation
bin1001100101000010…
…01011101000100100
3111021101120102011110
410302201023220210
541012441322000
62210142105020
7241302516426
oct46241135044
914241512143
105142526500
1121a9905301
12bb627b170
1363c541bb7
1436ada2816
1520170b850
hex13284ba24

5142526500 has 96 divisors (see below), whose sum is σ = 15491548800. Its totient is φ = 1324041600.

The previous prime is 5142526483. The next prime is 5142526513. The reversal of 5142526500 is 56252415.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 15610 + ... + 102609.

It is an arithmetic number, because the mean of its divisors is an integer number (161370300).

Almost surely, 25142526500 is an apocalyptic number.

5142526500 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 5142526500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745774400).

5142526500 is an abundant number, since it is smaller than the sum of its proper divisors (10349022300).

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

5142526500 is a wasteful number, since it uses less digits than its factorization.

5142526500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118270 (or 118258 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5142526500 is about 71711.4112258293. The cubic root of 5142526500 is about 1726.0717557322.

Adding to 5142526500 its reverse (56252415), we get a palindrome (5198778915).

The spelling of 5142526500 in words is "five billion, one hundred forty-two million, five hundred twenty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 290 300 348 375 435 500 580 725 750 870 1450 1500 1740 2175 2900 3625 4350 7250 8700 10875 14500 21750 43500 118219 236438 354657 472876 591095 709314 1182190 1418628 1773285 2364380 2955475 3428351 3546570 5910950 6856702 7093140 8866425 10285053 11821900 13713404 14777375 17141755 17732850 20570106 29554750 34283510 35465700 41140212 44332125 51425265 59109500 68567020 85708775 88664250 102850530 171417550 177328500 205701060 257126325 342835100 428543875 514252650 857087750 1028505300 1285631625 1714175500 2571263250 5142526500