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86828196 = 223721337307
BaseRepresentation
bin1010010110011…
…10010010100100
320001101022220010
411023032102210
5134212000241
612341010220
72103012300
oct513162244
9201338803
1086828196
1145015344
12250b3970
1314cb1340
14b762d00
157951d16
hex52ce4a4

86828196 has 144 divisors (see below), whose sum is σ = 261514176. Its totient is φ = 22208256.

The previous prime is 86828177. The next prime is 86828219. The reversal of 86828196 is 69182868.

It is a super-2 number, since 2×868281962 = 15078271241228832, which contains 22 as substring.

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, 282675 + ... + 282981.

Almost surely, 286828196 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 86828196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130757088).

86828196 is an abundant number, since it is smaller than the sum of its proper divisors (174685980).

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

86828196 is a wasteful number, since it uses less digits than its factorization.

86828196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 86828196 is about 9318.1648407828. The cubic root of 86828196 is about 442.8128949796.

The spelling of 86828196 in words is "eighty-six million, eight hundred twenty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 49 52 74 78 84 91 98 111 147 148 156 182 196 222 259 273 294 307 364 444 481 518 546 588 614 637 777 921 962 1036 1092 1228 1274 1443 1554 1813 1842 1911 1924 2149 2548 2886 3108 3367 3626 3684 3822 3991 4298 5439 5772 6447 6734 7252 7644 7982 8596 10101 10878 11359 11973 12894 13468 15043 15964 20202 21756 22718 23569 23946 25788 27937 30086 34077 40404 45129 45436 47138 47892 55874 60172 68154 70707 79513 83811 90258 94276 111748 136308 141414 147667 159026 167622 180516 195559 238539 282828 295334 318052 335244 391118 443001 477078 556591 586677 590668 782236 886002 954156 1033669 1113182 1173354 1669773 1772004 2067338 2226364 2346708 3101007 3339546 4134676 6202014 6679092 7235683 12404028 14471366 21707049 28942732 43414098 86828196