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268292388 = 2237131967193
BaseRepresentation
bin11111111110111…
…01000100100100
3200200211122222010
433333131010210
51022140324023
642342234220
76435306360
oct1777350444
9620748863
10268292388
11128498051
1275a25970
13437787c0
14278bc2a0
1518849093
hexffdd124

268292388 has 192 divisors, whose sum is σ = 827402240. Its totient is φ = 65691648.

The previous prime is 268292377. The next prime is 268292389. The reversal of 268292388 is 883292862.

It is not an unprimeable number, because it can be changed into a prime (268292389) 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 63 ways as a sum of consecutive naturals, for example, 1390020 + ... + 1390212.

Almost surely, 2268292388 is an apocalyptic number.

268292388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268292388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413701120).

268292388 is an abundant number, since it is smaller than the sum of its proper divisors (559109852).

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

268292388 is a wasteful number, since it uses less digits than its factorization.

268292388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 268292388 is about 16379.6333292293. The cubic root of 268292388 is about 644.9649545288.

The spelling of 268292388 in words is "two hundred sixty-eight million, two hundred ninety-two thousand, three hundred eighty-eight".