Search a number
-
+
564062500 = 2258192
BaseRepresentation
bin100001100111101…
…110100100100100
31110022101100021201
4201213232210210
52123400000000
6131545452244
716656311041
oct4147564444
91408340251
10564062500
1126a442561
12138aa1084
138cb251c1
1454cb01c8
15347be96a
hex219ee924

564062500 has 81 divisors (see below), whose sum is σ = 1302245427. Its totient is φ = 213750000.

The previous prime is 564062497. The next prime is 564062507. The reversal of 564062500 is 5260465.

The square root of 564062500 is 23750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 401040676 + 163021824 = 20026^2 + 12768^2 .

It is not an unprimeable number, because it can be changed into a prime (564062507) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29687491 + ... + 29687509.

Almost surely, 2564062500 is an apocalyptic number.

564062500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564062500 is the 23750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564062500

564062500 is an abundant number, since it is smaller than the sum of its proper divisors (738182927).

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

564062500 is an frugal number, since it uses more digits than its factorization.

564062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The cubic root of 564062500 is about 826.2454406075.

The spelling of 564062500 in words is "five hundred sixty-four million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 361 380 475 500 625 722 950 1250 1444 1805 1900 2375 2500 3125 3610 4750 6250 7220 9025 9500 11875 12500 15625 18050 23750 31250 36100 45125 47500 59375 62500 78125 90250 118750 156250 180500 225625 237500 296875 312500 390625 451250 593750 781250 902500 1128125 1187500 1484375 1562500 2256250 2968750 4512500 5640625 5937500 7421875 11281250 14843750 22562500 28203125 29687500 56406250 112812500 141015625 282031250 564062500