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531024032 = 25711613533
BaseRepresentation
bin11111101001101…
…100100010100000
31101000012211000202
4133221230202200
52041420232112
6124405404332
716105426010
oct3751544240
91330184022
10531024032
11252827240
12129a096a8
1386028206
145074dc40
15319456c2
hex1fa6c8a0

531024032 has 96 divisors (see below), whose sum is σ = 1325165184. Its totient is φ = 203443200.

The previous prime is 531024031. The next prime is 531024047. The reversal of 531024032 is 230420135.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 531023995 and 531024013.

It is not an unprimeable number, because it can be changed into a prime (531024031) 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, 148538 + ... + 152070.

It is an arithmetic number, because the mean of its divisors is an integer number (13803804).

Almost surely, 2531024032 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 531024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662582592).

531024032 is an abundant number, since it is smaller than the sum of its proper divisors (794141152).

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

531024032 is a wasteful number, since it uses less digits than its factorization.

531024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 531024032 is about 23043.9586876908. The cubic root of 531024032 is about 809.7881028815.

Adding to 531024032 its reverse (230420135), we get a palindrome (761444167).

The spelling of 531024032 in words is "five hundred thirty-one million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 77 88 112 122 154 176 224 244 308 352 427 488 616 671 854 976 1232 1342 1708 1952 2464 2684 3416 3533 4697 5368 6832 7066 9394 10736 13664 14132 18788 21472 24731 28264 37576 38863 49462 56528 75152 77726 98924 113056 150304 155452 197848 215513 272041 310904 395696 431026 544082 621808 791392 862052 1088164 1243616 1508591 1724104 2176328 2370643 3017182 3448208 4352656 4741286 6034364 6896416 8705312 9482572 12068728 16594501 18965144 24137456 33189002 37930288 48274912 66378004 75860576 132756008 265512016 531024032