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268252440 = 23352235437
BaseRepresentation
bin11111111110100…
…11010100011000
3200200202122011120
433333103110120
51022133034230
642341325240
76435052041
oct1777232430
9620678146
10268252440
11128470035
1275a06820
1343763571
14278ab8c8
151883c310
hexffd3518

268252440 has 32 divisors (see below), whose sum is σ = 804757680. Its totient is φ = 71533952.

The previous prime is 268252417. The next prime is 268252459. The reversal of 268252440 is 44252862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117599 + ... + 1117838.

Almost surely, 2268252440 is an apocalyptic number.

268252440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268252440 is an abundant number, since it is smaller than the sum of its proper divisors (536505240).

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

268252440 is a wasteful number, since it uses less digits than its factorization.

268252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235451 (or 2235447 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 268252440 is about 16378.4138426161. The cubic root of 268252440 is about 644.9329417695.

The spelling of 268252440 in words is "two hundred sixty-eight million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2235437 4470874 6706311 8941748 11177185 13412622 17883496 22354370 26825244 33531555 44708740 53650488 67063110 89417480 134126220 268252440