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68235588 = 22333189229
BaseRepresentation
bin1000001000100…
…11000101000100
311202101201122000
410010103011010
5114432014323
610434305300
71455664401
oct404230504
9152351560
1068235588
1135576453
121aa28230
13111a16b5
1490c32a8
155ecce43
hex4113144

68235588 has 96 divisors (see below), whose sum is σ = 185472000. Its totient is φ = 21669120.

The previous prime is 68235571. The next prime is 68235589. The reversal of 68235588 is 88553286.

It is a happy number.

68235588 is a `hidden beast` number, since 68 + 2 + 3 + 5 + 588 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68235589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297858 + ... + 298086.

It is an arithmetic number, because the mean of its divisors is an integer number (1932000).

Almost surely, 268235588 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 68235588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92736000).

68235588 is an abundant number, since it is smaller than the sum of its proper divisors (117236412).

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

68235588 is a wasteful number, since it uses less digits than its factorization.

68235588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 68235588 is about 8260.4835209569. The cubic root of 68235588 is about 408.6363340203.

The spelling of 68235588 in words is "sixty-eight million, two hundred thirty-five thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 89 93 108 124 178 186 229 267 279 356 372 458 534 558 687 801 837 916 1068 1116 1374 1602 1674 2061 2403 2748 2759 3204 3348 4122 4806 5518 6183 7099 8244 8277 9612 11036 12366 14198 16554 20381 21297 24732 24831 28396 33108 40762 42594 49662 61143 63891 74493 81524 85188 99324 122286 127782 148986 183429 191673 244572 255564 297972 366858 383346 550287 631811 733716 766692 1100574 1263622 1895433 2201148 2527244 3790866 5686299 7581732 11372598 17058897 22745196 34117794 68235588