Search a number
-
+
45446320 = 2453731523
BaseRepresentation
bin1010110101011…
…1010010110000
310011111220122001
42231113102300
543113240240
64302023344
71061200363
oct255272260
9104456561
1045446320
1123720547
1213277b54
13955281a
1460700da
153eca89a
hex2b574b0

45446320 has 40 divisors (see below), whose sum is σ = 106015536. Its totient is φ = 18117888.

The previous prime is 45446267. The next prime is 45446329. The reversal of 45446320 is 2364454.

45446320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (45446329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29079 + ... + 30601.

Almost surely, 245446320 is an apocalyptic number.

45446320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45446320 is an abundant number, since it is smaller than the sum of its proper divisors (60569216).

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

45446320 is a wasteful number, since it uses less digits than its factorization.

45446320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 45446320 is about 6741.3885809972. The cubic root of 45446320 is about 356.8613992750.

The spelling of 45446320 in words is "forty-five million, four hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 373 746 1492 1523 1865 2984 3046 3730 5968 6092 7460 7615 12184 14920 15230 24368 29840 30460 60920 121840 568079 1136158 2272316 2840395 4544632 5680790 9089264 11361580 22723160 45446320