Search a number
-
+
45018090 = 232513109353
BaseRepresentation
bin1010101110111…
…0101111101010
310010201011012200
42223232233222
543011034330
64244521030
71054435035
oct253565752
9103634180
1045018090
1123458837
12130b0176
139432930
145d9c01c
153e43a60
hex2aeebea

45018090 has 96 divisors (see below), whose sum is σ = 127567440. Its totient is φ = 10948608.

The previous prime is 45018089. The next prime is 45018097. The reversal of 45018090 is 9081054.

It can be written as a sum of positive squares in 8 ways, for example, as 13242321 + 31775769 = 3639^2 + 5637^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45018097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127354 + ... + 127706.

Almost surely, 245018090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45018090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63783720).

45018090 is an abundant number, since it is smaller than the sum of its proper divisors (82549350).

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

45018090 is a wasteful number, since it uses less digits than its factorization.

45018090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 45018090 is about 6709.5521460080. The cubic root of 45018090 is about 355.7369864340.

The spelling of 45018090 in words is "forty-five million, eighteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 195 218 234 327 353 390 545 585 654 706 981 1059 1090 1170 1417 1635 1765 1962 2118 2834 3177 3270 3530 4251 4589 4905 5295 6354 7085 8502 9178 9810 10590 12753 13767 14170 15885 21255 22945 25506 27534 31770 38477 41301 42510 45890 63765 68835 76954 82602 115431 127530 137670 192385 206505 230862 346293 384770 413010 500201 577155 692586 1000402 1154310 1500603 1731465 2501005 3001206 3462930 4501809 5002010 7503015 9003618 15006030 22509045 45018090