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2556059620 = 225534335569
BaseRepresentation
bin1001100001011010…
…0101111111100100
320121010200021121211
42120112211333210
520213322401440
61101345121204
7120225101602
oct23026457744
96533607554
102556059620
1110a1913474
125b4029204
13319729a1a
141a3684872
15ee600eea
hex985a5fe4

2556059620 has 48 divisors (see below), whose sum is σ = 5482617840. Its totient is φ = 1000636416.

The previous prime is 2556059593. The next prime is 2556059651. The reversal of 2556059620 is 269506552.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 303038464 + 2253021156 = 17408^2 + 47466^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456196 + ... + 461764.

It is an arithmetic number, because the mean of its divisors is an integer number (114221205).

Almost surely, 22556059620 is an apocalyptic number.

2556059620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2556059620 is an abundant number, since it is smaller than the sum of its proper divisors (2926558220).

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

2556059620 is a wasteful number, since it uses less digits than its factorization.

2556059620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 2556059620 is about 50557.4882683070. The cubic root of 2556059620 is about 1367.2785266096.

It can be divided in two parts, 255605 and 9620, that added together give a square (265225 = 5152).

The spelling of 2556059620 in words is "two billion, five hundred fifty-six million, fifty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 433 530 866 1060 1732 2165 4330 5569 8660 11138 22276 22949 27845 45898 55690 91796 111380 114745 229490 295157 458980 590314 1180628 1475785 2411377 2951570 4822754 5903140 9645508 12056885 24113770 48227540 127802981 255605962 511211924 639014905 1278029810 2556059620