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268049300 = 22522680493
BaseRepresentation
bin11111111101000…
…01101110010100
3200200101022111212
433332201232110
51022110034200
642333120552
76433244561
oct1776415624
9620338455
10268049300
11128341452
1275929158
13436c1c6c
1427857868
15187ec035
hexffa1b94

268049300 has 18 divisors (see below), whose sum is σ = 581667198. Its totient is φ = 107219680.

The previous prime is 268049293. The next prime is 268049303. The reversal of 268049300 is 3940862.

268049300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 595984 + 267453316 = 772^2 + 16354^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268049303) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1340147 + ... + 1340346.

Almost surely, 2268049300 is an apocalyptic number.

268049300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268049300 is an abundant number, since it is smaller than the sum of its proper divisors (313617898).

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

268049300 is a wasteful number, since it uses less digits than its factorization.

268049300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680507 (or 2680500 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 268049300 is about 16372.2112129058. The cubic root of 268049300 is about 644.7701041551.

The spelling of 268049300 in words is "two hundred sixty-eight million, forty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2680493 5360986 10721972 13402465 26804930 53609860 67012325 134024650 268049300