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45268314 = 23713174877
BaseRepresentation
bin1010110010101…
…1110101011010
310011011212110020
42230223311122
543042041224
64254131310
71056526410
oct254536532
9104155406
1045268314
1123609833
12131b0b36
1394bc7b0
1460252b0
153e92c79
hex2b2bd5a

45268314 has 64 divisors (see below), whose sum is σ = 118008576. Its totient is φ = 11234304.

The previous prime is 45268313. The next prime is 45268357. The reversal of 45268314 is 41386254.

It is not an unprimeable number, because it can be changed into a prime (45268313) 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, 6844 + ... + 11720.

It is an arithmetic number, because the mean of its divisors is an integer number (1843884).

Almost surely, 245268314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45268314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59004288).

45268314 is an abundant number, since it is smaller than the sum of its proper divisors (72740262).

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

45268314 is a wasteful number, since it uses less digits than its factorization.

45268314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919.

The product of its digits is 23040, while the sum is 33.

The square root of 45268314 is about 6728.1731547278. The cubic root of 45268314 is about 356.3948665371.

The spelling of 45268314 in words is "forty-five million, two hundred sixty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 3094 4641 4877 9282 9754 14631 29262 34139 63401 68278 82909 102417 126802 165818 190203 204834 248727 380406 443807 497454 580363 887614 1077817 1160726 1331421 1741089 2155634 2662842 3233451 3482178 6466902 7544719 15089438 22634157 45268314