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266864256 = 2732832791
BaseRepresentation
bin11111110100000…
…00011010000000
3200121011002221100
433322000122000
51021304124011
642251454400
76420210621
oct1772003200
9617132840
10266864256
1112770207a
1275457400
1343398759
1427629a48
1518665d56
hexfe80680

266864256 has 96 divisors (see below), whose sum is σ = 777460320. Its totient is φ = 87851520.

The previous prime is 266864243. The next prime is 266864287. The reversal of 266864256 is 652468662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2668642562 = 142433062260867072, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 94221 + ... + 97011.

It is an arithmetic number, because the mean of its divisors is an integer number (8098545).

Almost surely, 2266864256 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 266864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388730160).

266864256 is an abundant number, since it is smaller than the sum of its proper divisors (510596064).

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

266864256 is a wasteful number, since it uses less digits than its factorization.

266864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2879 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 266864256 is about 16335.9804113497. The cubic root of 266864256 is about 643.8185258250.

The spelling of 266864256 in words is "two hundred sixty-six million, eight hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 576 664 747 996 1152 1328 1494 1992 2656 2791 2988 3984 5312 5582 5976 7968 8373 10624 11164 11952 15936 16746 22328 23904 25119 31872 33492 44656 47808 50238 66984 89312 95616 100476 133968 178624 200952 231653 267936 357248 401904 463306 535872 694959 803808 926612 1071744 1389918 1607616 1853224 2084877 2779836 3215232 3706448 4169754 5559672 7412896 8339508 11119344 14825792 16679016 22238688 29651584 33358032 44477376 66716064 88954752 133432128 266864256