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531052254 = 233411311831
BaseRepresentation
bin11111101001110…
…011011011011110
31101000021020202000
4133221303123132
52041422133004
6124410143130
716105604205
oct3751633336
91330236660
10531052254
11252846467
12129a21aa6
1386038005
145075a23c
153194dc39
hex1fa736de

531052254 has 64 divisors (see below), whose sum is σ = 1218792960. Its totient is φ = 171288000.

The previous prime is 531052253. The next prime is 531052259. The reversal of 531052254 is 452250135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531052253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289119 + ... + 290949.

It is an arithmetic number, because the mean of its divisors is an integer number (19043640).

Almost surely, 2531052254 is an apocalyptic number.

531052254 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 531052254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609396480).

531052254 is an abundant number, since it is smaller than the sum of its proper divisors (687740706).

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

531052254 is a wasteful number, since it uses less digits than its factorization.

531052254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 531052254 is about 23044.5710309392. The cubic root of 531052254 is about 809.8024483935.

The spelling of 531052254 in words is "five hundred thirty-one million, fifty-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 131 246 262 369 393 738 786 1107 1179 1831 2214 2358 3537 3662 5371 5493 7074 10742 10986 16113 16479 32226 32958 48339 49437 75071 96678 98874 145017 150142 225213 239861 290034 450426 479722 675639 719583 1351278 1439166 2026917 2158749 4053834 4317498 6476247 9834301 12952494 19668602 29502903 59005806 88508709 177017418 265526127 531052254