Search a number
-
+
85754721 = 31313271657
BaseRepresentation
bin1010001110010…
…00001101100001
312222100210100210
411013020031201
5133423122341
612302004333
72060621523
oct507101541
9188323323
1085754721
1144451878
12248766a9
13149c6850
14b563a13
1577ddc16
hex51c8361

85754721 has 16 divisors (see below), whose sum is σ = 123302144. Its totient is φ = 52700544.

The previous prime is 85754719. The next prime is 85754729. The reversal of 85754721 is 12745758.

It is not a de Polignac number, because 85754721 - 21 = 85754719 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85754721.

It is not an unprimeable number, because it can be changed into a prime (85754729) 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 15 ways as a sum of consecutive naturals, for example, 50925 + ... + 52581.

It is an arithmetic number, because the mean of its divisors is an integer number (7706384).

Almost surely, 285754721 is an apocalyptic number.

It is an amenable number.

85754721 is a deficient number, since it is larger than the sum of its proper divisors (37547423).

85754721 is a wasteful number, since it uses less digits than its factorization.

85754721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000.

The product of its digits is 78400, while the sum is 39.

The square root of 85754721 is about 9260.3844952572. The cubic root of 85754721 is about 440.9804599504.

The spelling of 85754721 in words is "eighty-five million, seven hundred fifty-four thousand, seven hundred twenty-one".

Divisors: 1 3 13 39 1327 1657 3981 4971 17251 21541 51753 64623 2198839 6596517 28584907 85754721