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458685045 = 33571337337
BaseRepresentation
bin11011010101101…
…111101001110101
31011222002121121000
4123111233221311
51414410410140
6113303113513
714236521120
oct3325575165
91158077530
10458685045
11215a08955
12109742899
137404ab90
1444cbd3b7
152a406a30
hex1b56fa75

458685045 has 64 divisors (see below), whose sum is σ = 1003645440. Its totient is φ = 193549824.

The previous prime is 458685043. The next prime is 458685089. The reversal of 458685045 is 540586854.

It is not a de Polignac number, because 458685045 - 21 = 458685043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458685043) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6384 + ... + 30953.

It is an arithmetic number, because the mean of its divisors is an integer number (15681960).

Almost surely, 2458685045 is an apocalyptic number.

458685045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

458685045 is an abundant number, since it is smaller than the sum of its proper divisors (544960395).

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

458685045 is a wasteful number, since it uses less digits than its factorization.

458685045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37371 (or 37365 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 458685045 is about 21416.9336040433. The cubic root of 458685045 is about 771.2080015342.

The spelling of 458685045 in words is "four hundred fifty-eight million, six hundred eighty-five thousand, forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285 37337 112011 186685 261359 336033 485381 560055 784077 1008099 1306795 1456143 1680165 2352231 2426905 3397667 3920385 4368429 5040495 7056693 7280715 10193001 11761155 13105287 16988335 21842145 30579003 35283465 50965005 65526435 91737009 152895015 458685045