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268406072 = 23112277279
BaseRepresentation
bin11111111111110…
…00110100111000
3200201001102220122
433333320310320
51022202443242
642344512412
76436261664
oct1777706470
9621042818
10268406072
11128565500
1275a7b708
13437b847c
142790b8a4
151886cad2
hexfff8d38

268406072 has 24 divisors (see below), whose sum is σ = 553173600. Its totient is φ = 122002320.

The previous prime is 268406063. The next prime is 268406077. The reversal of 268406072 is 270604862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268406077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 137672 + ... + 139607.

It is an arithmetic number, because the mean of its divisors is an integer number (23048900).

Almost surely, 2268406072 is an apocalyptic number.

268406072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268406072 is an abundant number, since it is smaller than the sum of its proper divisors (284767528).

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

268406072 is a wasteful number, since it uses less digits than its factorization.

268406072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277307 (or 277292 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 268406072 is about 16383.1032469432. The cubic root of 268406072 is about 645.0560390387.

The spelling of 268406072 in words is "two hundred sixty-eight million, four hundred six thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 277279 554558 1109116 2218232 3050069 6100138 12200276 24400552 33550759 67101518 134203036 268406072