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20852845 = 513541593
BaseRepresentation
bin100111110001…
…1000001101101
31110020102201121
41033203001231
520314242340
62022540541
7342150316
oct117430155
943212647
1020852845
1110853062
126b97751
134421680
142aab60d
151c6d94a
hex13e306d

20852845 has 16 divisors (see below), whose sum is σ = 27043632. Its totient is φ = 15344640.

The previous prime is 20852831. The next prime is 20852849. The reversal of 20852845 is 54825802.

It can be written as a sum of positive squares in 8 ways, for example, as 1378276 + 19474569 = 1174^2 + 4413^2 .

It is not a de Polignac number, because 20852845 - 29 = 20852333 is a prime.

It is a super-2 number, since 2×208528452 = 869682289188050, which contains 22 as substring.

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 20852845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20852849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34869 + ... + 35461.

It is an arithmetic number, because the mean of its divisors is an integer number (1690227).

Almost surely, 220852845 is an apocalyptic number.

It is an amenable number.

20852845 is a deficient number, since it is larger than the sum of its proper divisors (6190787).

20852845 is a wasteful number, since it uses less digits than its factorization.

20852845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152.

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 20852845 is about 4566.4915416543. The cubic root of 20852845 is about 275.2464787430.

It can be divided in two parts, 20 and 852845, that multiplied together give a square (17056900 = 41302).

The spelling of 20852845 in words is "twenty million, eight hundred fifty-two thousand, eight hundred forty-five".

Divisors: 1 5 13 65 541 593 2705 2965 7033 7709 35165 38545 320813 1604065 4170569 20852845