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522142432 = 25725361103
BaseRepresentation
bin11111000111110…
…100001011100000
31100101111120202121
4133013310023200
52032132024212
6123451154024
715640065100
oct3707641340
91311446677
10522142432
11248810379
12126a45914
1384238726
144d4bb200
1530c8dd07
hex1f1f42e0

522142432 has 144 divisors (see below), whose sum is σ = 1250357472. Its totient is φ = 213857280.

The previous prime is 522142417. The next prime is 522142451. The reversal of 522142432 is 234241225.

It is a super-3 number, since 3×5221424323 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 522142397 and 522142406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5069293 + ... + 5069395.

It is an arithmetic number, because the mean of its divisors is an integer number (8683038).

Almost surely, 2522142432 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 522142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625178736).

522142432 is an abundant number, since it is smaller than the sum of its proper divisors (728215040).

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

522142432 is a wasteful number, since it uses less digits than its factorization.

522142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 522142432 is about 22850.4361446341. The cubic root of 522142432 is about 805.2480143181.

Adding to 522142432 its reverse (234241225), we get a palindrome (756383657).

The spelling of 522142432 in words is "five hundred twenty-two million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 61 98 103 106 112 122 196 206 212 224 244 371 392 412 424 427 488 721 742 784 824 848 854 976 1442 1484 1568 1648 1696 1708 1952 2597 2884 2968 2989 3233 3296 3416 5047 5194 5459 5768 5936 5978 6283 6466 6832 10094 10388 10918 11536 11872 11956 12566 12932 13664 20188 20776 21836 22631 23072 23912 25132 25864 38213 40376 41552 43672 43981 45262 47824 50264 51728 76426 80752 83104 87344 87962 90524 95648 100528 103456 152852 158417 161504 174688 175924 181048 201056 267491 305704 307867 316834 332999 351848 362096 534982 611408 615734 633668 665998 703696 724192 1069964 1222816 1231468 1267336 1331996 1407392 2139928 2330993 2462936 2534672 2663992 4279856 4661986 4925872 5069344 5327984 8559712 9323972 9851744 10655968 16316951 18647944 32633902 37295888 65267804 74591776 130535608 261071216 522142432