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85850778 = 231319531093
BaseRepresentation
bin1010001110111…
…11101010011010
312222112200010110
411013133222122
5133434211103
612304025150
72061501546
oct507375232
9188480113
1085850778
1144507a62
12249021b6
1314a2b4a0
14b58aa26
15780c403
hex51dfa9a

85850778 has 64 divisors (see below), whose sum is σ = 198495360. Its totient is φ = 24530688.

The previous prime is 85850777. The next prime is 85850783. The reversal of 85850778 is 87705858.

It is not an unprimeable number, because it can be changed into a prime (85850771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78000 + ... + 79092.

It is an arithmetic number, because the mean of its divisors is an integer number (3101490).

Almost surely, 285850778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85850778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99247680).

85850778 is an abundant number, since it is smaller than the sum of its proper divisors (112644582).

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

85850778 is a wasteful number, since it uses less digits than its factorization.

85850778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183.

The product of its (nonzero) digits is 627200, while the sum is 48.

The square root of 85850778 is about 9265.5694914020. The cubic root of 85850778 is about 441.1450512924.

The spelling of 85850778 in words is "eighty-five million, eight hundred fifty thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 13 19 26 38 39 53 57 78 106 114 159 247 318 494 689 741 1007 1093 1378 1482 2014 2067 2186 3021 3279 4134 6042 6558 13091 14209 20767 26182 28418 39273 41534 42627 57929 62301 78546 85254 115858 124602 173787 269971 347574 539942 753077 809913 1100651 1506154 1619826 2201302 2259231 3301953 4518462 6603906 14308463 28616926 42925389 85850778