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45344838 = 23711611609
BaseRepresentation
bin1010110011111…
…0100001000110
310011022202102110
42230332201012
543102013323
64255521450
71060265460
oct254764106
9104282373
1045344838
1123661280
1213229286
139518586
146045130
153eaa793
hex2b3e846

45344838 has 64 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 11577600.

The previous prime is 45344837. The next prime is 45344843. The reversal of 45344838 is 83844354.

It is a happy number.

45344838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45344796 and 45344805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45344837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27378 + ... + 28986.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 245344838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45344838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496320).

45344838 is an abundant number, since it is smaller than the sum of its proper divisors (69647802).

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

45344838 is a wasteful number, since it uses less digits than its factorization.

45344838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693.

The product of its digits is 184320, while the sum is 39.

The square root of 45344838 is about 6733.8575868517. The cubic root of 45344838 is about 356.5955765186.

The spelling of 45344838 in words is "forty-five million, three hundred forty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 61 66 77 122 154 183 231 366 427 462 671 854 1281 1342 1609 2013 2562 3218 4026 4697 4827 9394 9654 11263 14091 17699 22526 28182 33789 35398 53097 67578 98149 106194 123893 196298 247786 294447 371679 588894 687043 743358 1079639 1374086 2061129 2159278 3238917 4122258 6477834 7557473 15114946 22672419 45344838