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5980082500 = 22547248817
BaseRepresentation
bin1011001000111000…
…01101000101000100
3120102202120200000001
411210130031011010
544221400120000
62425221531044
7301122601600
oct54434150504
916382520001
105980082500
112599667547
1211aa873a84
13743c14072
1440a306500
1525000146a
hex16470d144

5980082500 has 90 divisors (see below), whose sum is σ = 15212616342. Its totient is φ = 2050272000.

The previous prime is 5980082483. The next prime is 5980082509. The reversal of 5980082500 is 52800895.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2678890564 + 3301191936 = 51758^2 + 57456^2 .

It is a super-2 number, since 2×59800825002 = 71522773413612500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5980082500.

It is not an unprimeable number, because it can be changed into a prime (5980082509) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 98092 + ... + 146908.

Almost surely, 25980082500 is an apocalyptic number.

5980082500 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 5980082500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606308171).

5980082500 is an abundant number, since it is smaller than the sum of its proper divisors (9232533842).

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

5980082500 is a wasteful number, since it uses less digits than its factorization.

5980082500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48855 (or 48831 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 5980082500 is about 77330.9931398789. The cubic root of 5980082500 is about 1815.1076694191.

The spelling of 5980082500 in words is "five billion, nine hundred eighty million, eighty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 625 700 875 980 1225 1250 1750 2450 2500 3500 4375 4900 6125 8750 12250 17500 24500 30625 48817 61250 97634 122500 195268 244085 341719 488170 683438 976340 1220425 1366876 1708595 2392033 2440850 3417190 4784066 4881700 6102125 6834380 8542975 9568132 11960165 12204250 17085950 23920330 24408500 30510625 34171900 42714875 47840660 59800825 61021250 85429750 119601650 122042500 170859500 213574375 239203300 299004125 427148750 598008250 854297500 1196016500 1495020625 2990041250 5980082500