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45126204 = 22329314789
BaseRepresentation
bin1010110000100…
…1001000111100
310010220122111220
42230021020330
543023014304
64251113340
71055365164
oct254111074
9103818456
1045126204
1123521a92
1213142850
13946cbc6
145dc95a4
153e65ad9
hex2b0923c

45126204 has 96 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 13601280.

The previous prime is 45126203. The next prime is 45126217. The reversal of 45126204 is 40262154.

45126204 is a modest number, since divided by 6204 gives 4512 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45126203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506992 + ... + 507080.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 245126204 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 45126204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

45126204 is an abundant number, since it is smaller than the sum of its proper divisors (70995396).

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

45126204 is a wasteful number, since it uses less digits than its factorization.

45126204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45126204 is about 6717.6040371549. The cubic root of 45126204 is about 356.0215342779.

Adding to 45126204 its reverse (40262154), we get a palindrome (85388358).

The spelling of 45126204 in words is "forty-five million, one hundred twenty-six thousand, two hundred four".

Divisors: 1 2 3 4 6 12 29 31 47 58 62 87 89 93 94 116 124 141 174 178 186 188 267 282 348 356 372 534 564 899 1068 1363 1457 1798 2581 2697 2726 2759 2914 3596 4089 4183 4371 5162 5394 5452 5518 5828 7743 8178 8277 8366 8742 10324 10788 11036 12549 15486 16356 16554 16732 17484 25098 30972 33108 42253 50196 80011 84506 121307 126759 129673 160022 169012 240033 242614 253518 259346 320044 363921 389019 480066 485228 507036 518692 727842 778038 960132 1455684 1556076 3760517 7521034 11281551 15042068 22563102 45126204