Search a number
-
+
514047216 = 243372411201
BaseRepresentation
bin11110101000111…
…011110011110000
31022211021022012210
4132220323303300
52023044002331
6123001452120
715511220634
oct3650736360
91284238183
10514047216
11244191311
121241a1040
1382662b67
144c3b0dc4
15301e0446
hex1ea3bcf0

514047216 has 80 divisors (see below), whose sum is σ = 1370645408. Its totient is φ = 165888000.

The previous prime is 514047203. The next prime is 514047227. The reversal of 514047216 is 612740415.

It is a congruent number.

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, 427416 + ... + 428616.

Almost surely, 2514047216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514047216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685322704).

514047216 is an abundant number, since it is smaller than the sum of its proper divisors (856598192).

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

514047216 is a wasteful number, since it uses less digits than its factorization.

514047216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 514047216 is about 22672.6093778374. The cubic root of 514047216 is about 801.0648403483.

The spelling of 514047216 in words is "five hundred fourteen million, forty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 241 296 444 482 592 723 888 964 1201 1446 1776 1928 2402 2892 3603 3856 4804 5784 7206 8917 9608 11568 14412 17834 19216 26751 28824 35668 44437 53502 57648 71336 88874 107004 133311 142672 177748 214008 266622 289441 355496 428016 533244 578882 710992 868323 1066488 1157764 1736646 2132976 2315528 3473292 4631056 6946584 10709317 13893168 21418634 32127951 42837268 64255902 85674536 128511804 171349072 257023608 514047216