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85906428 = 22353293461
BaseRepresentation
bin1010001111011…
…01001111111100
312222122111110120
411013231033330
5133443001203
612305134540
72062123026
oct507551774
9188574416
1085906428
1144545853
122492a450
1314a4a90a
14b5a3016
15781db53
hex51ed3fc

85906428 has 48 divisors (see below), whose sum is σ = 205371936. Its totient is φ = 27938560.

The previous prime is 85906427. The next prime is 85906453. The reversal of 85906428 is 82460958.

It is a self number, because there is not a number n which added to its sum of digits gives 85906428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85906421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186118 + ... + 186578.

It is an arithmetic number, because the mean of its divisors is an integer number (4278582).

Almost surely, 285906428 is an apocalyptic number.

It is an amenable number.

85906428 is an abundant number, since it is smaller than the sum of its proper divisors (119465508).

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

85906428 is a wasteful number, since it uses less digits than its factorization.

85906428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 85906428 is about 9268.5720583054. The cubic root of 85906428 is about 441.2403500579.

The spelling of 85906428 in words is "eighty-five million, nine hundred six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 53 106 159 212 293 318 461 586 636 879 922 1172 1383 1758 1844 2766 3516 5532 15529 24433 31058 46587 48866 62116 73299 93174 97732 135073 146598 186348 270146 293196 405219 540292 810438 1620876 7158869 14317738 21476607 28635476 42953214 85906428