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45538136 = 23719127337
BaseRepresentation
bin1010110110110…
…1101101011000
310011200120120122
42231231231120
543124210021
64304012412
71062032150
oct255555530
9104616518
1045538136
1123783526
1213301108
139585557
146095760
153ee7bab
hex2b6db58

45538136 has 64 divisors (see below), whose sum is σ = 103833600. Its totient is φ = 18289152.

The previous prime is 45538109. The next prime is 45538151. The reversal of 45538136 is 63183554.

It is a junction number, because it is equal to n+sod(n) for n = 45538096 and 45538105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134960 + ... + 135296.

It is an arithmetic number, because the mean of its divisors is an integer number (1622400).

Almost surely, 245538136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45538136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51916800).

45538136 is an abundant number, since it is smaller than the sum of its proper divisors (58295464).

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

45538136 is a wasteful number, since it uses less digits than its factorization.

45538136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 45538136 is about 6748.1950179289. The cubic root of 45538136 is about 357.1015620673.

The spelling of 45538136 in words is "forty-five million, five hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 127 133 152 254 266 337 508 532 674 889 1016 1064 1348 1778 2359 2413 2696 3556 4718 4826 6403 7112 9436 9652 12806 16891 18872 19304 25612 33782 42799 44821 51224 67564 85598 89642 135128 171196 179284 299593 342392 358568 599186 813181 1198372 1626362 2396744 3252724 5692267 6505448 11384534 22769068 45538136