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188768268 = 2232132192371
BaseRepresentation
bin10110100000001…
…10000000001100
3111011012102101100
423100012000030
5341311041033
630421543100
74451334543
oct1320060014
9434172340
10188768268
1197611437
1253274a90
1330153c00
141b0db15a
151188b513
hexb40600c

188768268 has 216 divisors, whose sum is σ = 575527680. Its totient is φ = 51891840.

The previous prime is 188768267. The next prime is 188768297. The reversal of 188768268 is 862867881.

It is not an unprimeable number, because it can be changed into a prime (188768263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2658673 + ... + 2658743.

It is an arithmetic number, because the mean of its divisors is an integer number (2664480).

Almost surely, 2188768268 is an apocalyptic number.

188768268 is a gapful number since it is divisible by the number (18) 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 188768268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287763840).

188768268 is an abundant number, since it is smaller than the sum of its proper divisors (386759412).

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

188768268 is a wasteful number, since it uses less digits than its factorization.

188768268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 188768268 is about 13739.2964885397. The cubic root of 188768268 is about 573.6447153274.

The spelling of 188768268 in words is "one hundred eighty-eight million, seven hundred sixty-eight thousand, two hundred sixty-eight".