Search a number
-
+
5564414000 = 24533737459
BaseRepresentation
bin1010010111010101…
…00011100000110000
3112100210102112000102
411023222203200300
542343442222000
62320052411532
7254614511225
oct51352434060
915323375012
105564414000
1123a5a6a662
1210b3616ba8
136a8a77a82
143ab02394c
152287953d5
hex14baa3830

5564414000 has 80 divisors (see below), whose sum is σ = 13492633440. Its totient is φ = 2219500800.

The previous prime is 5564413993. The next prime is 5564414069. The reversal of 5564414000 is 4144655.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742271 + ... + 749729.

It is an arithmetic number, because the mean of its divisors is an integer number (168657918).

Almost surely, 25564414000 is an apocalyptic number.

5564414000 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 5564414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746316720).

5564414000 is an abundant number, since it is smaller than the sum of its proper divisors (7928219440).

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

5564414000 is a wasteful number, since it uses less digits than its factorization.

5564414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7855 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 5564414000 is about 74594.9998324284. Note that the first 3 decimals coincide. The cubic root of 5564414000 is about 1772.0384656030.

Adding to 5564414000 its reverse (4144655), we get a palindrome (5568558655).

The spelling of 5564414000 in words is "five billion, five hundred sixty-four million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 373 400 500 746 1000 1492 1865 2000 2984 3730 5968 7459 7460 9325 14918 14920 18650 29836 29840 37295 37300 46625 59672 74590 74600 93250 119344 149180 149200 186475 186500 298360 372950 373000 596720 745900 746000 932375 1491800 1864750 2782207 2983600 3729500 5564414 7459000 11128828 13911035 14918000 22257656 27822070 44515312 55644140 69555175 111288280 139110350 222576560 278220700 347775875 556441400 695551750 1112882800 1391103500 2782207000 5564414000