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266878248 = 233713891373
BaseRepresentation
bin11111110100000…
…11110100101000
3200121011211010120
433322003310220
51021310100443
642252043240
76420266460
oct1772036450
9617154116
10266878248
1112771163a
1275463520
13433a1c30
1427630ba0
151866a083
hexfe83d28

266878248 has 128 divisors (see below), whose sum is σ = 830995200. Its totient is φ = 69543936.

The previous prime is 266878231. The next prime is 266878273. The reversal of 266878248 is 842878662.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 266878248.

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, 193690 + ... + 195062.

It is an arithmetic number, because the mean of its divisors is an integer number (6492150).

Almost surely, 2266878248 is an apocalyptic number.

266878248 is a gapful number since it is divisible by the number (28) 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 266878248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415497600).

266878248 is an abundant number, since it is smaller than the sum of its proper divisors (564116952).

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

266878248 is a wasteful number, since it uses less digits than its factorization.

266878248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1487 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 266878248 is about 16336.4086628610. The cubic root of 266878248 is about 643.8297776770.

The spelling of 266878248 in words is "two hundred sixty-six million, eight hundred seventy-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 89 91 104 156 168 178 182 267 273 312 356 364 534 546 623 712 728 1068 1092 1157 1246 1373 1869 2136 2184 2314 2492 2746 3471 3738 4119 4628 4984 5492 6942 7476 8099 8238 9256 9611 10984 13884 14952 16198 16476 17849 19222 24297 27768 28833 32396 32952 35698 38444 48594 53547 57666 64792 71396 76888 97188 107094 115332 122197 124943 142792 194376 214188 230664 244394 249886 366591 374829 428376 488788 499772 733182 749658 855379 977576 999544 1466364 1499316 1588561 1710758 2566137 2932728 2998632 3177122 3421516 4765683 5132274 6354244 6843032 9531366 10264548 11119927 12708488 19062732 20529096 22239854 33359781 38125464 44479708 66719562 88959416 133439124 266878248