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68635188 = 2234172733
BaseRepresentation
bin1000001011101…
…00101000110100
311210011000210000
410011310220310
5120032311223
610451031300
71462250406
oct405645064
9153130700
1068635188
11358196a6
121ab9b530
13112b154b
149188b76
15605b543
hex4174a34

68635188 has 90 divisors (see below), whose sum is σ = 190861286. Its totient is φ = 21503232.

The previous prime is 68635153. The next prime is 68635213. The reversal of 68635188 is 88153686.

68635188 is a `hidden beast` number, since 6 + 8 + 635 + 1 + 8 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 49028004 + 19607184 = 7002^2 + 4428^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 93270 + ... + 94002.

Almost surely, 268635188 is an apocalyptic number.

68635188 is a gapful number since it is divisible by the number (68) 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 68635188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95430643).

68635188 is an abundant number, since it is smaller than the sum of its proper divisors (122226098).

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

68635188 is a wasteful number, since it uses less digits than its factorization.

68635188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 755 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 68635188 is about 8284.6356588567. The cubic root of 68635188 is about 409.4324648116.

The spelling of 68635188 in words is "sixty-eight million, six hundred thirty-five thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 733 867 918 1156 1377 1466 1734 1836 2199 2601 2754 2932 3468 4398 5202 5508 6597 7803 8796 10404 12461 13194 15606 19791 23409 24922 26388 31212 37383 39582 46818 49844 59373 74766 79164 93636 112149 118746 149532 211837 224298 237492 336447 423674 448596 635511 672894 847348 1009341 1271022 1345788 1906533 2018682 2542044 3813066 4037364 5719599 7626132 11439198 17158797 22878396 34317594 68635188