Search a number
-
+
5306549600 = 2552111973061
BaseRepresentation
bin1001111000100101…
…11000010101100000
3111200211012122120002
410330102320111200
541331434041400
62234321435132
7245333633042
oct47422702540
914624178502
105306549600
112283455290
12104119baa8
136675108a1
14384a9ba92
15210d0aed5
hex13c4b8560

5306549600 has 144 divisors (see below), whose sum is σ = 14208684336. Its totient is φ = 1919232000.

The previous prime is 5306549593. The next prime is 5306549629. The reversal of 5306549600 is 69456035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1732070 + ... + 1735130.

It is an arithmetic number, because the mean of its divisors is an integer number (98671419).

Almost surely, 25306549600 is an apocalyptic number.

5306549600 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 5306549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104342168).

5306549600 is an abundant number, since it is smaller than the sum of its proper divisors (8902134736).

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

5306549600 is a wasteful number, since it uses less digits than its factorization.

5306549600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 5306549600 is about 72846.0678417168. The cubic root of 5306549600 is about 1744.2313015610.

The spelling of 5306549600 in words is "five billion, three hundred six million, five hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 197 200 220 275 352 394 400 440 550 788 800 880 985 1100 1576 1760 1970 2167 2200 3061 3152 3940 4334 4400 4925 6122 6304 7880 8668 8800 9850 10835 12244 15305 15760 17336 19700 21670 24488 30610 31520 33671 34672 39400 43340 48976 54175 61220 67342 69344 76525 78800 86680 97952 108350 122440 134684 153050 157600 168355 173360 216700 244880 269368 306100 336710 346720 433400 489760 538736 603017 612200 673420 841775 866800 1077472 1206034 1224400 1346840 1683550 1733600 2412068 2448800 2693680 3015085 3367100 4824136 5387360 6030170 6633187 6734200 9648272 12060340 13266374 13468400 15075425 19296544 24120680 26532748 26936800 30150850 33165935 48241360 53065496 60301700 66331870 96482720 106130992 120603400 132663740 165829675 212261984 241206800 265327480 331659350 482413600 530654960 663318700 1061309920 1326637400 2653274800 5306549600