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85044300 = 223521125771
BaseRepresentation
bin1010001000110…
…10110001001100
312221000200211220
411010122301030
5133232404200
612234443340
72051602365
oct504326114
9187020756
1085044300
1144007050
1224593550
1314808393
14b41ab6c
1576ed4a0
hex511ac4c

85044300 has 72 divisors (see below), whose sum is σ = 268441152. Its totient is φ = 20616000.

The previous prime is 85044299. The next prime is 85044329. The reversal of 85044300 is 344058.

It is a happy number.

It is an unprimeable number.

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, 9586 + ... + 16185.

Almost surely, 285044300 is an apocalyptic number.

It is an amenable number.

85044300 is an abundant number, since it is smaller than the sum of its proper divisors (183396852).

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

85044300 is a wasteful number, since it uses less digits than its factorization.

85044300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25799 (or 25792 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 85044300 is about 9221.9466491625. The cubic root of 85044300 is about 439.7593380888.

Adding to 85044300 its reverse (344058), we get a palindrome (85388358).

It can be divided in two parts, 850 and 44300, that added together give a triangular number (45150 = T300).

The spelling of 85044300 in words is "eighty-five million, forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 25771 51542 77313 103084 128855 154626 257710 283481 309252 386565 515420 566962 644275 773130 850443 1133924 1288550 1417405 1546260 1700886 1932825 2577100 2834810 3401772 3865650 4252215 5669620 7087025 7731300 8504430 14174050 17008860 21261075 28348100 42522150 85044300