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458850114 = 232197318379
BaseRepresentation
bin11011010110010…
…111111101000010
31011222102000000200
4123112113331002
51414431200424
6113310430030
714241106302
oct3326277502
91158360020
10458850114
11216010978
12109802316
13740a8058
1444d23602
152a43a8c9
hex1b597f42

458850114 has 48 divisors (see below), whose sum is σ = 1060893600. Its totient is φ = 142907328.

The previous prime is 458850089. The next prime is 458850121. The reversal of 458850114 is 411058854.

It is an unprimeable number.

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, 15777 + ... + 34155.

It is an arithmetic number, because the mean of its divisors is an integer number (22101950).

Almost surely, 2458850114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458850114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530446800).

458850114 is an abundant number, since it is smaller than the sum of its proper divisors (602043486).

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

458850114 is a wasteful number, since it uses less digits than its factorization.

458850114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18479 (or 18476 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 458850114 is about 21420.7869603336. The cubic root of 458850114 is about 771.3005031080.

The spelling of 458850114 in words is "four hundred fifty-eight million, eight hundred fifty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 73 114 146 171 219 342 438 657 1314 1387 2774 4161 8322 12483 18379 24966 36758 55137 110274 165411 330822 349201 698402 1047603 1341667 2095206 2683334 3142809 4025001 6285618 8050002 12075003 24150006 25491673 50983346 76475019 152950038 229425057 458850114