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531954090 = 232541144161
BaseRepresentation
bin11111101101001…
…111100110101010
31101001222001211100
4133231033212222
52042140012330
6124441342230
716116351363
oct3755174652
91331861740
10531954090
11253301a88
1212a197976
1386292645
1450912b6a
1531a7b060
hex1fb4f9aa

531954090 has 48 divisors (see below), whose sum is σ = 1416824136. Its totient is φ = 138393600.

The previous prime is 531954053. The next prime is 531954103. The reversal of 531954090 is 90459135.

It can be written as a sum of positive squares in 4 ways, for example, as 250620561 + 281333529 = 15831^2 + 16773^2 .

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 23 ways as a sum of consecutive naturals, for example, 68391 + ... + 75770.

Almost surely, 2531954090 is an apocalyptic number.

531954090 is an abundant number, since it is smaller than the sum of its proper divisors (884870046).

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

531954090 is a wasteful number, since it uses less digits than its factorization.

531954090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144215 (or 144212 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 531954090 is about 23064.1299424019. The cubic root of 531954090 is about 810.2605928793.

The spelling of 531954090 in words is "five hundred thirty-one million, nine hundred fifty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 144161 288322 432483 720805 864966 1297449 1441610 2162415 2594898 4324830 5910601 6487245 11821202 12974490 17731803 29553005 35463606 53195409 59106010 88659015 106390818 177318030 265977045 531954090