Search a number
-
+
45214050 = 23527172149
BaseRepresentation
bin1010110001111…
…0100101100010
310011002010000110
42230132211202
543033322200
64253032150
71056212250
oct254364542
9104063013
1045214050
1123581a92
1213185656
1394a0b9b
14600d5d0
153e81b50
hex2b1e962

45214050 has 144 divisors (see below), whose sum is σ = 137044800. Its totient is φ = 9661440.

The previous prime is 45213983. The next prime is 45214051. The reversal of 45214050 is 5041254.

45214050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45214051) 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 71 ways as a sum of consecutive naturals, for example, 303376 + ... + 303524.

It is an arithmetic number, because the mean of its divisors is an integer number (951700).

Almost surely, 245214050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45214050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68522400).

45214050 is an abundant number, since it is smaller than the sum of its proper divisors (91830750).

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

45214050 is a wasteful number, since it uses less digits than its factorization.

45214050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 45214050 is about 6724.1393501325. The cubic root of 45214050 is about 356.2524038003.

The spelling of 45214050 in words is "forty-five million, two hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 50 51 70 75 85 102 105 119 149 150 170 175 210 238 255 289 298 350 357 425 447 510 525 578 595 714 745 850 867 894 1043 1050 1190 1275 1445 1490 1734 1785 2023 2086 2235 2533 2550 2890 2975 3129 3570 3725 4046 4335 4470 5066 5215 5950 6069 6258 7225 7450 7599 8670 8925 10115 10430 11175 12138 12665 14450 15198 15645 17731 17850 20230 21675 22350 25330 26075 30345 31290 35462 37995 43061 43350 50575 52150 53193 60690 63325 75990 78225 86122 88655 101150 106386 126650 129183 151725 156450 177310 189975 215305 258366 265965 301427 303450 379950 430610 443275 531930 602854 645915 886550 904281 1076525 1291830 1329825 1507135 1808562 2153050 2659650 3014270 3229575 4521405 6459150 7535675 9042810 15071350 22607025 45214050