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512042432 = 26111375309
BaseRepresentation
bin11110100001010…
…010010111000000
31022200111110011112
4132201102113000
52022040324212
6122450502452
715455201036
oct3641222700
91280443145
10512042432
11243042070
12123594a28
13821104b5
144c00c556
152ee46422
hex1e8525c0

512042432 has 56 divisors (see below), whose sum is σ = 1116756720. Its totient is φ = 231004160.

The previous prime is 512042413. The next prime is 512042449. The reversal of 512042432 is 234240215.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 512042398 and 512042407.

It is a congruent number.

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, 93794 + ... + 99102.

Almost surely, 2512042432 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 512042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558378360).

512042432 is an abundant number, since it is smaller than the sum of its proper divisors (604714288).

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

512042432 is a wasteful number, since it uses less digits than its factorization.

512042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 512042432 is about 22628.3546021358. The cubic root of 512042432 is about 800.0220993895.

Adding to 512042432 its reverse (234240215), we get a palindrome (746282647).

The spelling of 512042432 in words is "five hundred twelve million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 137 176 274 352 548 704 1096 1507 2192 3014 4384 5309 6028 8768 10618 12056 21236 24112 42472 48224 58399 84944 96448 116798 169888 233596 339776 467192 727333 934384 1454666 1868768 2909332 3737536 5818664 8000663 11637328 16001326 23274656 32002652 46549312 64005304 128010608 256021216 512042432