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45200450 = 25217411297
BaseRepresentation
bin1010110001101…
…1010001000010
310011001102100202
42230123101002
543032403300
64252445202
71056124511
oct254332102
9104042322
1045200450
1123572849
1213179802
139497939
146008678
153e7cad5
hex2b1b442

45200450 has 48 divisors (see below), whose sum is σ = 91259784. Its totient is φ = 16588800.

The previous prime is 45200401. The next prime is 45200453. The reversal of 45200450 is 5400254.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9690769 + 35509681 = 3113^2 + 5959^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45200453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34202 + ... + 35498.

Almost surely, 245200450 is an apocalyptic number.

45200450 is an abundant number, since it is smaller than the sum of its proper divisors (46059334).

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

45200450 is a wasteful number, since it uses less digits than its factorization.

45200450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 45200450 is about 6723.1279922369. The cubic root of 45200450 is about 356.2166809918.

The spelling of 45200450 in words is "forty-five million, two hundred thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 34 41 50 82 85 170 205 410 425 697 850 1025 1297 1394 2050 2594 3485 6485 6970 12970 17425 22049 32425 34850 44098 53177 64850 106354 110245 220490 265885 531770 551225 904009 1102450 1329425 1808018 2658850 4520045 9040090 22600225 45200450