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45645568 = 28376179
BaseRepresentation
bin1010111000011…
…1111100000000
310011220000221121
42232013330000
543141124233
64310202024
71062660313
oct256077400
9104800847
1045645568
1123847211
1213353314
1395c2417
1460c297a
15401992d
hex2b87f00

45645568 has 72 divisors (see below), whose sum is σ = 96313280. Its totient is φ = 21565440.

The previous prime is 45645563. The next prime is 45645577. The reversal of 45645568 is 86554654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45645563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577753 + ... + 577831.

Almost surely, 245645568 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 45645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48156640).

45645568 is an abundant number, since it is smaller than the sum of its proper divisors (50667712).

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

45645568 is an equidigital number, since it uses as much as digits as its factorization.

45645568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its digits is 576000, while the sum is 43.

The square root of 45645568 is about 6756.1503831694. The cubic root of 45645568 is about 357.3821620856.

The spelling of 45645568 in words is "forty-five million, six hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 61 64 74 79 122 128 148 158 244 256 296 316 488 592 632 976 1184 1264 1952 2257 2368 2528 2923 3904 4514 4736 4819 5056 5846 7808 9028 9472 9638 10112 11692 15616 18056 19276 20224 23384 36112 38552 46768 72224 77104 93536 144448 154208 178303 187072 288896 308416 356606 374144 577792 616832 713212 748288 1233664 1426424 2852848 5705696 11411392 22822784 45645568