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45104202 = 2351121359
BaseRepresentation
bin1010110000001…
…1110001001010
310010212112100000
42230003301022
543021313302
64250423430
71055244063
oct254036112
9103775300
1045104202
1123507500
1213131b76
139462ba0
145dc156a
153e5e31c
hex2b03c4a

45104202 has 144 divisors (see below), whose sum is σ = 121998240. Its totient is φ = 12402720.

The previous prime is 45104183. The next prime is 45104243. The reversal of 45104202 is 20240154.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 764449 + ... + 764507.

It is an arithmetic number, because the mean of its divisors is an integer number (847210).

Almost surely, 245104202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45104202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60999120).

45104202 is an abundant number, since it is smaller than the sum of its proper divisors (76894038).

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

45104202 is a wasteful number, since it uses less digits than its factorization.

45104202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45104202 is about 6715.9662000341. The cubic root of 45104202 is about 355.9636635471.

Adding to 45104202 its reverse (20240154), we get a palindrome (65344356).

The spelling of 45104202 in words is "forty-five million, one hundred four thousand, two hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 59 66 78 81 99 117 118 121 143 162 177 198 234 242 243 286 297 351 354 363 429 486 531 594 649 702 726 767 858 891 1053 1062 1089 1287 1298 1534 1573 1593 1782 1947 2106 2178 2301 2574 2673 3146 3159 3186 3267 3861 3894 4602 4719 4779 5346 5841 6318 6534 6903 7139 7722 8437 9438 9558 9801 11583 11682 13806 14157 14278 14337 16874 17523 19602 20709 21417 23166 25311 28314 28674 29403 34749 35046 41418 42471 42834 50622 52569 58806 62127 64251 69498 75933 84942 92807 105138 124254 127413 128502 151866 157707 185614 186381 192753 227799 254826 278421 315414 372762 382239 385506 455598 556842 578259 683397 764478 835263 1156518 1366794 1670526 1734777 2050191 2505789 3469554 4100382 5011578 7517367 15034734 22552101 45104202