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268914546 = 23313613659
BaseRepresentation
bin10000000001110…
…100111101110010
3200202000021102000
4100001310331302
51022320231141
642403434430
76443510265
oct2001647562
9622007360
10268914546
1112888252a
1276085a16
1343935a44
1427a00cdc
151891d5b6
hex10074f72

268914546 has 32 divisors (see below), whose sum is σ = 598190400. Its totient is φ = 89547840.

The previous prime is 268914539. The next prime is 268914577. The reversal of 268914546 is 645419862.

268914546 is a `hidden beast` number, since 26 + 89 + 1 + 4 + 546 = 666.

It is a super-2 number, since 2×2689145462 = 144630066100772232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71665 + ... + 75323.

It is an arithmetic number, because the mean of its divisors is an integer number (18693450).

Almost surely, 2268914546 is an apocalyptic number.

268914546 is an abundant number, since it is smaller than the sum of its proper divisors (329275854).

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

268914546 is a wasteful number, since it uses less digits than its factorization.

268914546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5025 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 268914546 is about 16398.6141487627. The cubic root of 268914546 is about 645.4631179099.

The spelling of 268914546 in words is "two hundred sixty-eight million, nine hundred fourteen thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 1361 2722 3659 4083 7318 8166 10977 12249 21954 24498 32931 36747 65862 73494 98793 197586 4979899 9959798 14939697 29879394 44819091 89638182 134457273 268914546