Search a number
-
+
45653340 = 22351515039
BaseRepresentation
bin1010111000100…
…1110101011100
310011220102121110
42232021311130
543141401330
64310302020
71063022055
oct256116534
9104812543
1045653340
1123852037
1213357910
1395c5b15
1460c572c
15401bdb0
hex2b89d5c

45653340 has 48 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 12091200.

The previous prime is 45653339. The next prime is 45653357. The reversal of 45653340 is 4335654.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45653298 and 45653307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6541 + ... + 11579.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 245653340 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 45653340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

45653340 is an abundant number, since it is smaller than the sum of its proper divisors (83048100).

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

45653340 is a wasteful number, since it uses less digits than its factorization.

45653340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 45653340 is about 6756.7255383063. The cubic root of 45653340 is about 357.4024445698.

Adding to 45653340 its reverse (4335654), we get a palindrome (49988994).

The spelling of 45653340 in words is "forty-five million, six hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 5039 9060 10078 15117 20156 25195 30234 50390 60468 75585 100780 151170 302340 760889 1521778 2282667 3043556 3804445 4565334 7608890 9130668 11413335 15217780 22826670 45653340