Search a number
-
+
45144204 = 2237599109
BaseRepresentation
bin1010110000110…
…1100010001100
310010221120012120
42230031202030
543024103304
64251332540
71055501520
oct254154214
9103846176
1045144204
1123534566
1213151150
139478161
145dd1d80
153e6b0d9
hex2b0d88c

45144204 has 48 divisors (see below), whose sum is σ = 122438400. Its totient is φ = 12678336.

The previous prime is 45144199. The next prime is 45144217. The reversal of 45144204 is 40244154.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 402 + ... + 9510.

It is an arithmetic number, because the mean of its divisors is an integer number (2550800).

Almost surely, 245144204 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 45144204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61219200).

45144204 is an abundant number, since it is smaller than the sum of its proper divisors (77294196).

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

45144204 is a wasteful number, since it uses less digits than its factorization.

45144204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 45144204 is about 6718.9436669762. The cubic root of 45144204 is about 356.0688647657.

Adding to 45144204 its reverse (40244154), we get a palindrome (85388358).

The spelling of 45144204 in words is "forty-five million, one hundred forty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 9109 18218 27327 36436 54654 63763 109308 127526 191289 255052 382578 537431 765156 1074862 1612293 2149724 3224586 3762017 6449172 7524034 11286051 15048068 22572102 45144204