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189593856 = 2832196171
BaseRepresentation
bin10110100110011…
…11100100000000
3111012202100212200
423103033210000
5342014000411
630451353200
74461343524
oct1323174400
9435670780
10189593856
1198025741
12535b2800
133038291a
141b273d84
15119a0e56
hexb4cf900

189593856 has 216 divisors, whose sum is σ = 593087040. Its totient is φ = 58060800.

The previous prime is 189593849. The next prime is 189593857. The reversal of 189593856 is 658395981.

It is a happy number.

189593856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (189593857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2670301 + ... + 2670371.

Almost surely, 2189593856 is an apocalyptic number.

189593856 is a gapful number since it is divisible by the number (16) 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 189593856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296543520).

189593856 is an abundant number, since it is smaller than the sum of its proper divisors (403493184).

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

189593856 is a wasteful number, since it uses less digits than its factorization.

189593856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 189593856 is about 13769.3084793682. The cubic root of 189593856 is about 574.4797875938.

The spelling of 189593856 in words is "one hundred eighty-nine million, five hundred ninety-three thousand, eight hundred fifty-six".