Search a number
-
+
530332512 = 25329712683
BaseRepresentation
bin11111100111000…
…011101101100000
31100221220200102220
4133213003231200
52041231120022
6124342511040
716066515633
oct3747035540
91327820386
10530332512
112523a4736
12129735480
1385b45528
145060dc1a
153185a85c
hex1f9c3b60

530332512 has 96 divisors (see below), whose sum is σ = 1460954880. Its totient is φ = 168215040.

The previous prime is 530332501. The next prime is 530332513. The reversal of 530332512 is 215233035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530332513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196323 + ... + 199005.

It is an arithmetic number, because the mean of its divisors is an integer number (15218280).

Almost surely, 2530332512 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 530332512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730477440).

530332512 is an abundant number, since it is smaller than the sum of its proper divisors (930622368).

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

530332512 is a wasteful number, since it uses less digits than its factorization.

530332512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 530332512 is about 23028.9494332677. The cubic root of 530332512 is about 809.4364377407.

Adding to 530332512 its reverse (215233035), we get a palindrome (745565547).

The spelling of 530332512 in words is "five hundred thirty million, three hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 71 87 96 116 142 174 213 232 284 348 426 464 568 696 852 928 1136 1392 1704 2059 2272 2683 2784 3408 4118 5366 6177 6816 8049 8236 10732 12354 16098 16472 21464 24708 32196 32944 42928 49416 64392 65888 77807 85856 98832 128784 155614 190493 197664 233421 257568 311228 380986 466842 571479 622456 761972 933684 1142958 1244912 1523944 1867368 2285916 2489824 3047888 3734736 4571832 5524297 6095776 7469472 9143664 11048594 16572891 18287328 22097188 33145782 44194376 66291564 88388752 132583128 176777504 265166256 530332512