Search a number
-
+
45240216 = 23371914173
BaseRepresentation
bin1010110010010…
…0111110011000
310011010102220120
42230210332120
543040141331
64253353240
71056351450
oct254447630
9104112816
1045240216
112359a70a
1213198820
1394aca78
146018d60
153e89796
hex2b24f98

45240216 has 64 divisors (see below), whose sum is σ = 136070400. Its totient is φ = 12244608.

The previous prime is 45240211. The next prime is 45240259. The reversal of 45240216 is 61204254.

45240216 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45240211) 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 15 ways as a sum of consecutive naturals, for example, 3895 + ... + 10278.

It is an arithmetic number, because the mean of its divisors is an integer number (2126100).

Almost surely, 245240216 is an apocalyptic number.

It is an amenable number.

45240216 is an abundant number, since it is smaller than the sum of its proper divisors (90830184).

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

45240216 is a wasteful number, since it uses less digits than its factorization.

45240216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14208 (or 14204 counting only the distinct ones).

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

The square root of 45240216 is about 6726.0847452288. The cubic root of 45240216 is about 356.3211132891.

The spelling of 45240216 in words is "forty-five million, two hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 14173 28346 42519 56692 85038 99211 113384 170076 198422 269287 297633 340152 396844 538574 595266 793688 807861 1077148 1190532 1615722 1885009 2154296 2381064 3231444 3770018 5655027 6462888 7540036 11310054 15080072 22620108 45240216