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54446000300 = 22521734792297
BaseRepresentation
bin110010101101001111…
…000000100010101100
312012112102202101110122
4302231033000202230
51343001134002200
641002342424112
73635136236516
oct625517004254
9165472671418
1054446000300
11210aa39096a
12a675a32038
135198bba733
1428c6dc0bb6
151639d68385
hexcad3c08ac

54446000300 has 72 divisors (see below), whose sum is σ = 125459563824. Its totient is φ = 20438026240.

The previous prime is 54446000291. The next prime is 54446000303. The reversal of 54446000300 is 300064445.

It is a self number, because there is not a number n which added to its sum of digits gives 54446000300.

It is not an unprimeable number, because it can be changed into a prime (54446000303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543752 + ... + 636048.

It is an arithmetic number, because the mean of its divisors is an integer number (1742493942).

Almost surely, 254446000300 is an apocalyptic number.

54446000300 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 54446000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62729781912).

54446000300 is an abundant number, since it is smaller than the sum of its proper divisors (71013563524).

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

54446000300 is a wasteful number, since it uses less digits than its factorization.

54446000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92675 (or 92668 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 54446000300 its reverse (300064445), we get a palindrome (54746064745).

The spelling of 54446000300 in words is "fifty-four billion, four hundred forty-six million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 347 425 694 850 1388 1700 1735 3470 5899 6940 8675 11798 17350 23596 29495 34700 58990 92297 117980 147475 184594 294950 369188 461485 589900 922970 1569049 1845940 2307425 3138098 4614850 6276196 7845245 9229700 15690490 31380980 32027059 39226225 64054118 78452450 128108236 156904900 160135295 320270590 544460003 640541180 800676475 1088920006 1601352950 2177840012 2722300015 3202705900 5444600030 10889200060 13611500075 27223000150 54446000300