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531013050 = 23352478369
BaseRepresentation
bin11111101001101…
…001110110111010
31101000012020222000
4133221221312322
52041414404200
6124405241430
716105352001
oct3751516672
91330166860
10531013050
11252819a67
12129a03276
1386023209
1450749c38
1531942300
hex1fa69dba

531013050 has 96 divisors (see below), whose sum is σ = 1494547200. Its totient is φ = 138574080.

The previous prime is 531013033. The next prime is 531013069. The reversal of 531013050 is 50310135.

It is a happy number.

531013050 is a `hidden beast` number, since 531 + 0 + 130 + 5 + 0 = 666.

It is a super-3 number, since 3×5310130503 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59266 + ... + 67634.

It is an arithmetic number, because the mean of its divisors is an integer number (15568200).

Almost surely, 2531013050 is an apocalyptic number.

531013050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 531013050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747273600).

531013050 is an abundant number, since it is smaller than the sum of its proper divisors (963534150).

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

531013050 is a wasteful number, since it uses less digits than its factorization.

531013050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8437 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 531013050 is about 23043.7204027475. The cubic root of 531013050 is about 809.7825204886.

Adding to 531013050 its reverse (50310135), we get a palindrome (581323185).

The spelling of 531013050 in words is "five hundred thirty-one million, thirteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 90 94 135 141 150 225 235 270 282 423 450 470 675 705 846 1175 1269 1350 1410 2115 2350 2538 3525 4230 6345 7050 8369 10575 12690 16738 21150 25107 31725 41845 50214 63450 75321 83690 125535 150642 209225 225963 251070 376605 393343 418450 451926 627675 753210 786686 1129815 1180029 1255350 1883025 1966715 2259630 2360058 3540087 3766050 3933430 5649075 5900145 7080174 9833575 10620261 11298150 11800290 17700435 19667150 21240522 29500725 35400870 53101305 59001450 88502175 106202610 177004350 265506525 531013050