Search a number
-
+
45775872 = 210324967
BaseRepresentation
bin1010111010011…
…1110000000000
310012010122200200
42232213300000
543204311442
64313045200
71064042232
oct256476000
9105118620
1045775872
11239260aa
12133b6800
13963981c
146118252
15404334c
hex2ba7c00

45775872 has 66 divisors (see below), whose sum is σ = 132203448. Its totient is φ = 15255552.

The previous prime is 45775867. The next prime is 45775889. The reversal of 45775872 is 27857754.

45775872 is a `hidden beast` number, since 4 + 577 + 5 + 8 + 72 = 666.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 6733 + ... + 11699.

Almost surely, 245775872 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 45775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66101724).

45775872 is an abundant number, since it is smaller than the sum of its proper divisors (86427576).

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

45775872 is a wasteful number, since it uses less digits than its factorization.

45775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4972 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 45775872 is about 6765.7868721975. The cubic root of 45775872 is about 357.7219108987.

The spelling of 45775872 in words is "forty-five million, seven hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 4967 9216 9934 14901 19868 29802 39736 44703 59604 79472 89406 119208 158944 178812 238416 317888 357624 476832 635776 715248 953664 1271552 1430496 1907328 2543104 2860992 3814656 5086208 5721984 7629312 11443968 15258624 22887936 45775872