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206485944 = 233717197367
BaseRepresentation
bin11000100111010…
…11100110111000
3112101112120110120
430103223212320
5410330022234
632253413240
75055046560
oct1423534670
9471476416
10206485944
11a6612a45
125919a220
1333a18542
141d5cdda0
15131db049
hexc4eb9b8

206485944 has 128 divisors (see below), whose sum is σ = 629544960. Its totient is φ = 55093248.

The previous prime is 206485931. The next prime is 206485967. The reversal of 206485944 is 449584602.

It is a super-2 number, since 2×2064859442 = 85272890139142272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 206485896 and 206485905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562449 + ... + 562815.

It is an arithmetic number, because the mean of its divisors is an integer number (4918320).

Almost surely, 2206485944 is an apocalyptic number.

206485944 is a gapful number since it is divisible by the number (24) 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 206485944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314772480).

206485944 is an abundant number, since it is smaller than the sum of its proper divisors (423059016).

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

206485944 is a wasteful number, since it uses less digits than its factorization.

206485944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 206485944 is about 14369.6187840875. The cubic root of 206485944 is about 591.0580879171.

The spelling of 206485944 in words is "two hundred six million, four hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 197 204 238 357 367 394 408 476 591 714 734 788 952 1101 1182 1379 1428 1468 1576 2202 2364 2569 2758 2856 2936 3349 4137 4404 4728 5138 5516 6239 6698 7707 8274 8808 10047 10276 11032 12478 13396 15414 16548 18717 20094 20552 23443 24956 26792 30828 33096 37434 40188 43673 46886 49912 61656 70329 72299 74868 80376 87346 93772 131019 140658 144598 149736 174692 187544 216897 262038 281316 289196 349384 433794 506093 524076 562632 578392 867588 1012186 1048152 1229083 1518279 1735176 2024372 2458166 3036558 3687249 4048744 4916332 6073116 7374498 8603581 9832664 12146232 14748996 17207162 25810743 29497992 34414324 51621486 68828648 103242972 206485944