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268286976 = 2103243677
BaseRepresentation
bin11111111110110…
…11110000000000
3200200211101112200
433333123300000
51022140140401
642342153200
76435254526
oct1777336000
9620741480
10268286976
11128493a81
1275a22800
13437761b9
14278ba316
1518847686
hexffdbc00

268286976 has 132 divisors (see below), whose sum is σ = 793859352. Its totient is φ = 87220224.

The previous prime is 268286947. The next prime is 268286999. The reversal of 268286976 is 679682862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395950 + ... + 396626.

It is an arithmetic number, because the mean of its divisors is an integer number (6014086).

Almost surely, 2268286976 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 268286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396929676).

268286976 is an abundant number, since it is smaller than the sum of its proper divisors (525572376).

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

268286976 is a wasteful number, since it uses less digits than its factorization.

268286976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 725 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 268286976 is about 16379.4681232328. The cubic root of 268286976 is about 644.9606177505.

The spelling of 268286976 in words is "two hundred sixty-eight million, two hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 677 688 768 774 1024 1032 1152 1354 1376 1536 1548 2031 2064 2304 2708 2752 3072 3096 4062 4128 4608 5416 5504 6093 6192 8124 8256 9216 10832 11008 12186 12384 16248 16512 21664 22016 24372 24768 29111 32496 33024 43328 44032 48744 49536 58222 64992 66048 86656 87333 97488 99072 116444 129984 132096 173312 174666 194976 198144 232888 259968 261999 346624 349332 389952 396288 465776 519936 523998 693248 698664 779904 931552 1039872 1047996 1397328 1559808 1863104 2079744 2095992 2794656 3119616 3726208 4191984 5589312 6239232 7452416 8383968 11178624 14904832 16767936 22357248 29809664 33535872 44714496 67071744 89428992 134143488 268286976