Search a number
-
+
45298640 = 245566233
BaseRepresentation
bin1010110011001…
…1001111010000
310011020102001102
42230303033100
543044024030
64254523532
71060014002
oct254631720
9104212042
1045298640
112362a5a2
12132065a8
13950053a
146032372
153e9bc45
hex2b333d0

45298640 has 20 divisors (see below), whose sum is σ = 105319524. Its totient is φ = 18119424.

The previous prime is 45298637. The next prime is 45298681. The reversal of 45298640 is 4689254.

45298640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34904464 + 10394176 = 5908^2 + 3224^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45298594 and 45298603.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 283037 + ... + 283196.

Almost surely, 245298640 is an apocalyptic number.

45298640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45298640 is an abundant number, since it is smaller than the sum of its proper divisors (60020884).

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

45298640 is a wasteful number, since it uses less digits than its factorization.

45298640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566246 (or 566240 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 45298640 is about 6730.4264352268. The cubic root of 45298640 is about 356.4744337308.

The spelling of 45298640 in words is "forty-five million, two hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 566233 1132466 2264932 2831165 4529864 5662330 9059728 11324660 22649320 45298640