Search a number
-
+
85772808 = 233211372927
BaseRepresentation
bin1010001110011…
…00101000001000
312222101201011200
411013030220020
5133424212213
612302224200
72061025332
oct507145010
9188351150
1085772808
1144464420
1224885060
1314a01b54
14b56a452
1577e4273
hex51cca08

85772808 has 96 divisors (see below), whose sum is σ = 260357760. Its totient is φ = 25280640.

The previous prime is 85772789. The next prime is 85772839. The reversal of 85772808 is 80827758.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27841 + ... + 30767.

It is an arithmetic number, because the mean of its divisors is an integer number (2712060).

Almost surely, 285772808 is an apocalyptic number.

85772808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85772808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130178880).

85772808 is an abundant number, since it is smaller than the sum of its proper divisors (174584952).

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

85772808 is a wasteful number, since it uses less digits than its factorization.

85772808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 85772808 is about 9261.3610230894. The cubic root of 85772808 is about 441.0114609760.

The spelling of 85772808 in words is "eighty-five million, seven hundred seventy-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 2442 2664 2927 3256 3663 4884 5854 7326 8781 9768 11708 14652 17562 23416 26343 29304 32197 35124 52686 64394 70248 96591 105372 108299 128788 193182 210744 216598 257576 289773 324897 386364 433196 579546 649794 772728 866392 974691 1159092 1191289 1299588 1949382 2318184 2382578 2599176 3573867 3898764 4765156 7147734 7797528 9530312 10721601 14295468 21443202 28590936 42886404 85772808