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504146045 = 513411011873
BaseRepresentation
bin11110000011001…
…010100001111101
31022010122021100202
4132003022201331
52013030133140
6122005333245
715331112354
oct3603124175
91263567322
10504146045
11239639427
12120a07225
13805a7290
144ad5499b
152e3d6915
hex1e0ca87d

504146045 has 32 divisors (see below), whose sum is σ = 674370144. Its totient is φ = 359424000.

The previous prime is 504146021. The next prime is 504146077. The reversal of 504146045 is 540641405.

It can be written as a sum of positive squares in 16 ways, for example, as 337787641 + 166358404 = 18379^2 + 12898^2 .

It is a de Polignac number, because none of the positive numbers 2k-504146045 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 504145999 and 504146017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268229 + ... + 270101.

It is an arithmetic number, because the mean of its divisors is an integer number (21074067).

Almost surely, 2504146045 is an apocalyptic number.

It is an amenable number.

504146045 is a deficient number, since it is larger than the sum of its proper divisors (170224099).

504146045 is a wasteful number, since it uses less digits than its factorization.

504146045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033.

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 504146045 is about 22453.1967657169. The cubic root of 504146045 is about 795.8883020671. Note that the first 3 decimals are identical.

The spelling of 504146045 in words is "five hundred four million, one hundred forty-six thousand, forty-five".

Divisors: 1 5 13 41 65 101 205 505 533 1313 1873 2665 4141 6565 9365 20705 24349 53833 76793 121745 189173 269165 383965 945865 998309 2459249 4991545 7756093 12296245 38780465 100829209 504146045