Search a number
-
+
45806460 = 22357109063
BaseRepresentation
bin1010111010111…
…1001101111100
310012012012122120
42232233031330
543211301320
64313442540
71064230350
oct256571574
9105165576
1045806460
1123947087
1213410450
13964a71b
146125460
15404c440
hex2baf37c

45806460 has 48 divisors (see below), whose sum is σ = 146582016. Its totient is φ = 10469952.

The previous prime is 45806459. The next prime is 45806461. The reversal of 45806460 is 6460854.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45806459) and next prime (45806461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45806461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54112 + ... + 54951.

It is an arithmetic number, because the mean of its divisors is an integer number (3053792).

Almost surely, 245806460 is an apocalyptic number.

It is an amenable number.

45806460 is an abundant number, since it is smaller than the sum of its proper divisors (100775556).

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

45806460 is a wasteful number, since it uses less digits than its factorization.

45806460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109082 (or 109080 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 45806460 is about 6768.0469856525. The cubic root of 45806460 is about 357.8015712165.

The spelling of 45806460 in words is "forty-five million, eight hundred six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 109063 218126 327189 436252 545315 654378 763441 1090630 1308756 1526882 1635945 2181260 2290323 3053764 3271890 3817205 4580646 6543780 7634410 9161292 11451615 15268820 22903230 45806460