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512134432 = 25291813049
BaseRepresentation
bin11110100001101…
…000110100100000
31022200200010100221
4132201220310200
52022101300212
6122452452424
715456033205
oct3641506440
91280603327
10512134432
112430a51a7
1212361a114
1382143334
144c033cac
152ee63807
hex1e868d20

512134432 has 48 divisors (see below), whose sum is σ = 1049139000. Its totient is φ = 245790720.

The previous prime is 512134411. The next prime is 512134451. The reversal of 512134432 is 234431215.

It can be written as a sum of positive squares in 4 ways, for example, as 175191696 + 336942736 = 13236^2 + 18356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 512134397 and 512134406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166444 + ... + 169492.

Almost surely, 2512134432 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 512134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524569500).

512134432 is an abundant number, since it is smaller than the sum of its proper divisors (537004568).

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

512134432 is a wasteful number, since it uses less digits than its factorization.

512134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3261 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 512134432 is about 22630.3873585938. The cubic root of 512134432 is about 800.0700105396.

Adding to 512134432 its reverse (234431215), we get a palindrome (746565647).

The spelling of 512134432 in words is "five hundred twelve million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 181 232 362 464 724 928 1448 2896 3049 5249 5792 6098 10498 12196 20996 24392 41992 48784 83984 88421 97568 167968 176842 353684 551869 707368 1103738 1414736 2207476 2829472 4414952 8829904 16004201 17659808 32008402 64016804 128033608 256067216 512134432