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268462248 = 23319588733
BaseRepresentation
bin10000000000000…
…110100010101000
3200201011021222020
4100000012202220
51022211242443
642350024440
76436614525
oct2000064250
9621137866
10268462248
111285a372a
1275aa8120
1343807c02
142792414c
151887e583
hex100068a8

268462248 has 32 divisors (see below), whose sum is σ = 706480800. Its totient is φ = 84777408.

The previous prime is 268462241. The next prime is 268462273. The reversal of 268462248 is 842264862.

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

It is not an unprimeable number, because it can be changed into a prime (268462241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293911 + ... + 294822.

It is an arithmetic number, because the mean of its divisors is an integer number (22077525).

Almost surely, 2268462248 is an apocalyptic number.

It is an amenable number.

268462248 is an abundant number, since it is smaller than the sum of its proper divisors (438018552).

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

268462248 is a wasteful number, since it uses less digits than its factorization.

268462248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588761 (or 588757 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 268462248 is about 16384.8176065527. The cubic root of 268462248 is about 645.1010381949.

The spelling of 268462248 in words is "two hundred sixty-eight million, four hundred sixty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 588733 1177466 1766199 2354932 3532398 4709864 7064796 11185927 14129592 22371854 33557781 44743708 67115562 89487416 134231124 268462248