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45450216 = 23327312909
BaseRepresentation
bin1010110101100…
…0001111101000
310011112002222100
42231120033220
543113401331
64302053400
71061214630
oct255301750
9104462870
1045450216
1123723469
121327a260
139554526
1460716c0
153ecbae6
hex2b583e8

45450216 has 96 divisors (see below), whose sum is σ = 145267200. Its totient is φ = 12562560.

The previous prime is 45450211. The next prime is 45450217. The reversal of 45450216 is 61205454.

45450216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45450216.

It is not an unprimeable number, because it can be changed into a prime (45450211) 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 23 ways as a sum of consecutive naturals, for example, 14170 + ... + 17078.

It is an arithmetic number, because the mean of its divisors is an integer number (1513200).

Almost surely, 245450216 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 45450216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72633600).

45450216 is an abundant number, since it is smaller than the sum of its proper divisors (99816984).

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

45450216 is a wasteful number, since it uses less digits than its factorization.

45450216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45450216 is about 6741.6775360440. The cubic root of 45450216 is about 356.8715965970.

The spelling of 45450216 in words is "forty-five million, four hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 2909 3906 5208 5818 7812 8727 11636 15624 17454 20363 23272 26181 34908 40726 52362 61089 69816 81452 90179 104724 122178 162904 180358 183267 209448 244356 270537 360716 366534 488712 541074 631253 721432 733068 811611 1082148 1262506 1466136 1623222 1893759 2164296 2525012 3246444 3787518 5050024 5681277 6492888 7575036 11362554 15150072 22725108 45450216