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85748418 = 23272931757
BaseRepresentation
bin1010001110001…
…10101011000010
312222100110201100
411013012223002
5133422422133
612301515230
72060564250
oct507065302
9188313640
1085748418
1144448068
1224872b16
13149c3a12
14b5615d0
1577dbe13
hex51c6ac2

85748418 has 96 divisors (see below), whose sum is σ = 227036160. Its totient is φ = 22861440.

The previous prime is 85748381. The next prime is 85748431. The reversal of 85748418 is 81484758.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112896 + ... + 113652.

It is an arithmetic number, because the mean of its divisors is an integer number (2364960).

Almost surely, 285748418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85748418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113518080).

85748418 is an abundant number, since it is smaller than the sum of its proper divisors (141287742).

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

85748418 is a wasteful number, since it uses less digits than its factorization.

85748418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 829 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 85748418 is about 9260.0441683612. The cubic root of 85748418 is about 440.9696556165.

The spelling of 85748418 in words is "eighty-five million, seven hundred forty-eight thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 31 42 58 62 63 87 93 126 174 186 203 217 261 279 406 434 522 558 609 651 757 899 1218 1302 1514 1798 1827 1953 2271 2697 3654 3906 4542 5299 5394 6293 6813 8091 10598 12586 13626 15897 16182 18879 21953 23467 31794 37758 43906 46934 47691 56637 65859 70401 95382 113274 131718 140802 153671 164269 197577 211203 307342 328538 395154 422406 461013 492807 680543 922026 985614 1361086 1383039 1478421 2041629 2766078 2956842 4083258 4763801 6124887 9527602 12249774 14291403 28582806 42874209 85748418