Search a number
-
+
514281472 = 2122353103
BaseRepresentation
bin11110101001110…
…101000000000000
31022211201012112221
4132221311000000
52023124001342
6123010500424
715513214615
oct3651650000
91284635487
10514281472
11244331311
12124294714
1382715683
144c43250c
1530239a67
hex1ea75000

514281472 has 104 divisors (see below), whose sum is σ = 1104015744. Its totient is φ = 238977024.

The previous prime is 514281421. The next prime is 514281527. The reversal of 514281472 is 274182415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4992973 + ... + 4993075.

It is an arithmetic number, because the mean of its divisors is an integer number (10615536).

Almost surely, 2514281472 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 514281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552007872).

514281472 is an abundant number, since it is smaller than the sum of its proper divisors (589734272).

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

514281472 is a wasteful number, since it uses less digits than its factorization.

514281472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 514281472 is about 22677.7748467525. The cubic root of 514281472 is about 801.1865060509.

It can be divided in two parts, 51428 and 1472, that added together give a square (52900 = 2302).

The spelling of 514281472 in words is "five hundred fourteen million, two hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 103 106 128 184 206 212 256 368 412 424 512 736 824 848 1024 1219 1472 1648 1696 2048 2369 2438 2944 3296 3392 4096 4738 4876 5459 5888 6592 6784 9476 9752 10918 11776 13184 13568 18952 19504 21836 23552 26368 27136 37904 39008 43672 47104 52736 54272 75808 78016 87344 94208 105472 108544 125557 151616 156032 174688 210944 217088 251114 303232 312064 349376 421888 502228 606464 624128 698752 1004456 1212928 1248256 1397504 2008912 2425856 2496512 2795008 4017824 4851712 4993024 5590016 8035648 9703424 11180032 16071296 22360064 32142592 64285184 128570368 257140736 514281472