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85078188 = 2235136733
BaseRepresentation
bin1010001001000…
…11000010101100
312221002102100000
411010203002230
5133240000223
612235304300
72052103236
oct504430254
9187072300
1085078188
114402a558
12245ab090
131481a930
14b429256
157708543
hex51230ac

85078188 has 72 divisors (see below), whose sum is σ = 240215248. Its totient is φ = 26174016.

The previous prime is 85078187. The next prime is 85078223. The reversal of 85078188 is 88187058.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85078187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9270 + ... + 16002.

Almost surely, 285078188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85078188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120107624).

85078188 is an abundant number, since it is smaller than the sum of its proper divisors (155137060).

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

85078188 is a wasteful number, since it uses less digits than its factorization.

85078188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 85078188 is about 9223.7838222716. The cubic root of 85078188 is about 439.8177413189.

The spelling of 85078188 in words is "eighty-five million, seventy-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 6733 12636 13466 20199 26932 40398 60597 80796 87529 121194 175058 181791 242388 262587 350116 363582 525174 545373 727164 787761 1050348 1090746 1575522 1636119 2181492 2363283 3151044 3272238 4726566 6544476 7089849 9453132 14179698 21269547 28359396 42539094 85078188