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268307872 = 2571770459
BaseRepresentation
bin11111111111000…
…00110110100000
3200200212110012121
433333200312200
51022141322442
642342434024
76435402460
oct1777406640
9620773177
10268307872
111284a8748
1275a32914
1343782871
14278c3ba0
151884d967
hexffe0da0

268307872 has 48 divisors (see below), whose sum is σ = 639213120. Its totient is φ = 108223488.

The previous prime is 268307867. The next prime is 268307881. The reversal of 268307872 is 278703862.

268307872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2683078722 = 143978228354336768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31422 + ... + 39037.

It is an arithmetic number, because the mean of its divisors is an integer number (13316940).

Almost surely, 2268307872 is an apocalyptic number.

It is an amenable number.

268307872 is an abundant number, since it is smaller than the sum of its proper divisors (370905248).

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

268307872 is a wasteful number, since it uses less digits than its factorization.

268307872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70493 (or 70485 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 268307872 is about 16380.1059825631. The cubic root of 268307872 is about 644.9773619441.

The spelling of 268307872 in words is "two hundred sixty-eight million, three hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 70459 140918 281836 493213 563672 986426 1127344 1197803 1972852 2254688 2395606 3945704 4791212 7891408 8384621 9582424 15782816 16769242 19164848 33538484 38329696 67076968 134153936 268307872