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85854645 = 3252965789
BaseRepresentation
bin1010001111000…
…00100110110101
312222112212102200
411013200212311
5133434322040
612304055113
72061516042
oct507404665
9188485380
1085854645
114450a958
1224904499
1314a30186
14b58c1c9
15780d630
hex51e09b5

85854645 has 24 divisors (see below), whose sum is σ = 153948600. Its totient is φ = 44209536.

The previous prime is 85854623. The next prime is 85854679. The reversal of 85854645 is 54645858.

85854645 is a `hidden beast` number, since 8 + 585 + 4 + 64 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12341169 + 73513476 = 3513^2 + 8574^2 .

It is not a de Polignac number, because 85854645 - 212 = 85850549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85854645.

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 23 ways as a sum of consecutive naturals, for example, 31590 + ... + 34199.

It is an arithmetic number, because the mean of its divisors is an integer number (6414525).

Almost surely, 285854645 is an apocalyptic number.

It is an amenable number.

85854645 is a deficient number, since it is larger than the sum of its proper divisors (68093955).

85854645 is a wasteful number, since it uses less digits than its factorization.

85854645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65829 (or 65826 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 85854645 is about 9265.7781648386. The cubic root of 85854645 is about 441.1516747319.

The spelling of 85854645 in words is "eighty-five million, eight hundred fifty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 65789 197367 328945 592101 986835 1907881 2960505 5723643 9539405 17170929 28618215 85854645