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85382388 = 223271367389
BaseRepresentation
bin1010001011011…
…01010011110100
312221122212121200
411011231103310
5133324214023
612250012500
72054511150
oct505552364
9187585550
1085382388
1144218063
1224717130
13148c6230
14b4a8060
157768743
hex516d4f4

85382388 has 144 divisors (see below), whose sum is σ = 270291840. Its totient is φ = 22125312.

The previous prime is 85382383. The next prime is 85382411. The reversal of 85382388 is 88328358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85382383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219298 + ... + 219686.

Almost surely, 285382388 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 85382388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135145920).

85382388 is an abundant number, since it is smaller than the sum of its proper divisors (184909452).

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

85382388 is a wasteful number, since it uses less digits than its factorization.

85382388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 481 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 85382388 is about 9240.2590872767. The cubic root of 85382388 is about 440.3413123072.

The spelling of 85382388 in words is "eighty-five million, three hundred eighty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 67 78 84 91 117 126 134 156 182 201 234 252 268 273 364 389 402 468 469 546 603 778 804 819 871 938 1092 1167 1206 1407 1556 1638 1742 1876 2334 2412 2613 2723 2814 3276 3484 3501 4221 4668 5057 5226 5446 5628 6097 7002 7839 8169 8442 10114 10452 10892 12194 14004 15171 15678 16338 16884 18291 20228 24388 24507 26063 30342 31356 32676 35399 36582 45513 49014 52126 54873 60684 70798 73164 78189 91026 98028 104252 106197 109746 141596 156378 182052 182441 212394 219492 234567 312756 318591 338819 364882 424788 469134 547323 637182 677638 729764 938268 1016457 1094646 1274364 1355276 1641969 2032914 2189292 2371733 3049371 3283938 4065828 4743466 6098742 6567876 7115199 9486932 12197484 14230398 21345597 28460796 42691194 85382388