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266868992 = 2813175389
BaseRepresentation
bin11111110100000…
…01100100000000
3200121011100102202
433322001210000
51021304301432
642251532332
76420230465
oct1772014400
9617140382
10266868992
11127705695
127545a0a8
134339a960
142762b66c
1518667462
hexfe81900

266868992 has 144 divisors (see below), whose sum is σ = 625831920. Its totient is φ = 112459776.

The previous prime is 266868949. The next prime is 266868997. The reversal of 266868992 is 299868662.

It can be written as a sum of positive squares in 8 ways, for example, as 2611456 + 264257536 = 1616^2 + 16256^2 .

It is a super-3 number, since 3×2668689923 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266868997) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2998484 + ... + 2998572.

It is an arithmetic number, because the mean of its divisors is an integer number (4346055).

Almost surely, 2266868992 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 266868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312915960).

266868992 is an abundant number, since it is smaller than the sum of its proper divisors (358962928).

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

266868992 is a wasteful number, since it uses less digits than its factorization.

266868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 56.

The square root of 266868992 is about 16336.1253668059. The cubic root of 266868992 is about 643.8223343861.

The spelling of 266868992 in words is "two hundred sixty-six million, eight hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 53 64 68 89 104 106 128 136 178 208 212 221 256 272 356 416 424 442 544 689 712 832 848 884 901 1088 1157 1378 1424 1513 1664 1696 1768 1802 2176 2314 2756 2848 3026 3328 3392 3536 3604 4352 4628 4717 5512 5696 6052 6784 7072 7208 9256 9434 11024 11392 11713 12104 13568 14144 14416 18512 18868 19669 22048 22784 23426 24208 28288 28832 37024 37736 39338 44096 46852 48416 56576 57664 61321 74048 75472 78676 80189 88192 93704 96832 115328 122642 148096 150944 157352 160378 176384 187408 193664 230656 245284 296192 301888 314704 320756 374816 387328 490568 603776 629408 641512 749632 981136 1042457 1207552 1258816 1283024 1499264 1962272 2084914 2517632 2566048 2998528 3924544 4169828 5035264 5132096 7849088 8339656 10264192 15698176 16679312 20528384 33358624 66717248 133434496 266868992