Search a number
-
+
521432704 = 27131718433
BaseRepresentation
bin11111000101000…
…110111010000000
31100100011112012101
4133011012322000
52031441321304
6123424040144
715631050652
oct3705067200
91310145171
10521432704
11248376121
12126763054
138404a680
144d3746d2
1530b9d8a4
hex1f146e80

521432704 has 64 divisors (see below), whose sum is σ = 1184568840. Its totient is φ = 226492416.

The previous prime is 521432693. The next prime is 521432719. The reversal of 521432704 is 407234125.

It can be written as a sum of positive squares in 4 ways, for example, as 438986304 + 82446400 = 20952^2 + 9080^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19072 + ... + 37504.

Almost surely, 2521432704 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 521432704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592284420).

521432704 is an abundant number, since it is smaller than the sum of its proper divisors (663136136).

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

521432704 is a wasteful number, since it uses less digits than its factorization.

521432704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18477 (or 18465 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 521432704 is about 22834.9010070112. The cubic root of 521432704 is about 804.8830013983.

Adding to 521432704 its reverse (407234125), we get a palindrome (928666829).

The spelling of 521432704 in words is "five hundred twenty-one million, four hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 18433 28288 36866 73732 147464 239629 294928 313361 479258 589856 626722 958516 1179712 1253444 1917032 2359424 2506888 3834064 4073693 5013776 7668128 8147386 10027552 15336256 16294772 20055104 30672512 32589544 40110208 65179088 130358176 260716352 521432704