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85023918 = 2347210711
BaseRepresentation
bin1010001000101…
…01110010101110
312220222122220000
411010111302232
5133231231133
612234205130
72051456100
oct504256256
9186878800
1085023918
1143aa2801
12245837a6
13147cc015
14b413570
1576e7413
hex5115cae

85023918 has 60 divisors (see below), whose sum is σ = 221641992. Its totient is φ = 24290280.

The previous prime is 85023901. The next prime is 85023923. The reversal of 85023918 is 81932058.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 2583 + ... + 13293.

Almost surely, 285023918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85023918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110820996).

85023918 is an abundant number, since it is smaller than the sum of its proper divisors (136618074).

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

85023918 is a wasteful number, since it uses less digits than its factorization.

85023918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85023918 is about 9220.8415017286. The cubic root of 85023918 is about 439.7242038863.

The spelling of 85023918 in words is "eighty-five million, twenty-three thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 10711 21422 32133 64266 74977 96399 149954 192798 224931 289197 449862 524839 578394 674793 867591 1049678 1349586 1574517 1735182 2024379 3149034 4048758 4723551 6073137 9447102 12146274 14170653 28341306 42511959 85023918