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531012352 = 2813379421
BaseRepresentation
bin11111101001101…
…001101100000000
31101000012020000011
4133221221230000
52041414343402
6124405234304
716105346653
oct3751515400
91330166004
10531012352
11252819492
12129a02994
1386022ac0
145074989a
1531941ed7
hex1fa69b00

531012352 has 72 divisors (see below), whose sum is σ = 1147215440. Its totient is φ = 243855360.

The previous prime is 531012343. The next prime is 531012373. The reversal of 531012352 is 253210135.

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, 1261102 + ... + 1261522.

Almost surely, 2531012352 is an apocalyptic number.

531012352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573607720).

531012352 is an abundant number, since it is smaller than the sum of its proper divisors (616203088).

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

531012352 is a wasteful number, since it uses less digits than its factorization.

531012352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 531012352 is about 23043.7052576186. The cubic root of 531012352 is about 809.7821656772.

Adding to 531012352 its reverse (253210135), we get a palindrome (784222487).

The spelling of 531012352 in words is "five hundred thirty-one million, twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 379 416 421 758 832 842 1516 1664 1684 3032 3328 3368 4927 5473 6064 6736 9854 10946 12128 13472 19708 21892 24256 26944 39416 43784 48512 53888 78832 87568 97024 107776 157664 159559 175136 315328 319118 350272 630656 638236 700544 1261312 1276472 1401088 2074267 2552944 4148534 5105888 8297068 10211776 16594136 20423552 33188272 40847104 66376544 132753088 265506176 531012352