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54259290 = 23252920789
BaseRepresentation
bin1100111011111…
…0111001011010
310210002122202100
43032332321122
5102342244130
65214544230
71226124231
oct316767132
9123078670
1054259290
112869a898
1216208076
13b319cb7
1472c5b18
154b6bc60
hex33bee5a

54259290 has 48 divisors (see below), whose sum is σ = 145945800. Its totient is φ = 13969536.

The previous prime is 54259273. The next prime is 54259297. The reversal of 54259290 is 9295245.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51365889 + 2893401 = 7167^2 + 1701^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54259297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7785 + ... + 13004.

Almost surely, 254259290 is an apocalyptic number.

54259290 is an abundant number, since it is smaller than the sum of its proper divisors (91686510).

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

54259290 is a wasteful number, since it uses less digits than its factorization.

54259290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20831 (or 20828 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54259290 is about 7366.0905506245. The cubic root of 54259290 is about 378.5803213426.

The spelling of 54259290 in words is "fifty-four million, two hundred fifty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 20789 41578 62367 103945 124734 187101 207890 311835 374202 602881 623670 935505 1205762 1808643 1871010 3014405 3617286 5425929 6028810 9043215 10851858 18086430 27129645 54259290