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85618404 = 223331107239
BaseRepresentation
bin1010001101001…
…10111011100100
312222002212101000
411012212323210
5133404242104
612255033300
72056513224
oct506467344
9188085330
1085618404
1144369413
122480b830
13149797a1
14b52a084
1577b3639
hex51a6ee4

85618404 has 96 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 27246240.

The previous prime is 85618399. The next prime is 85618417. The reversal of 85618404 is 40481658.

It is a super-2 number, since 2×856184042 = 14661022207014432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358117 + ... + 358355.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 285618404 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 85618404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

85618404 is an abundant number, since it is smaller than the sum of its proper divisors (146624796).

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

85618404 is a wasteful number, since it uses less digits than its factorization.

85618404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85618404 is about 9253.0213444042. The cubic root of 85618404 is about 440.7466729625.

The spelling of 85618404 in words is "eighty-five million, six hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 107 108 124 186 214 239 279 321 372 428 478 558 642 717 837 956 963 1116 1284 1434 1674 1926 2151 2868 2889 3317 3348 3852 4302 5778 6453 6634 7409 8604 9951 11556 12906 13268 14818 19902 22227 25573 25812 29636 29853 39804 44454 51146 59706 66681 76719 88908 89559 102292 119412 133362 153438 179118 200043 230157 266724 306876 358236 400086 460314 690471 792763 800172 920628 1380942 1585526 2378289 2761884 3171052 4756578 7134867 9513156 14269734 21404601 28539468 42809202 85618404