Search a number
-
+
45322272 = 2532179257
BaseRepresentation
bin1010110011100…
…1000000100000
310011021121110200
42230321000200
543100303042
64255225200
71060142622
oct254710040
9104247420
1045322272
1123646326
1213218200
13950b218
14603ac12
153ea3c4c
hex2b39020

45322272 has 72 divisors (see below), whose sum is σ = 136481436. Its totient is φ = 14217216.

The previous prime is 45322267. The next prime is 45322283. The reversal of 45322272 is 27222354.

It can be written as a sum of positive squares in 2 ways, for example, as 44675856 + 646416 = 6684^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268 + ... + 9524.

Almost surely, 245322272 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 45322272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68240718).

45322272 is an abundant number, since it is smaller than the sum of its proper divisors (91159164).

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

45322272 is a wasteful number, since it uses less digits than its factorization.

45322272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290 (or 9279 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 45322272 is about 6732.1818157266. The cubic root of 45322272 is about 356.5364130697.

The spelling of 45322272 in words is "forty-five million, three hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 9257 18514 27771 37028 55542 74056 83313 111084 148112 157369 166626 222168 296224 314738 333252 444336 472107 629476 666504 888672 944214 1258952 1333008 1416321 1888428 2517904 2666016 2832642 3776856 5035808 5665284 7553712 11330568 15107424 22661136 45322272