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189862848 = 263273312
BaseRepresentation
bin10110101000100…
…01001111000000
3111020021000212100
423110101033000
5342101102343
630501230400
74463544000
oct1324211700
9436230770
10189862848
119819984a
1253702400
13304481a6
141b304000
1511a059d3
hexb5113c0

189862848 has 252 divisors, whose sum is σ = 655777200. Its totient is φ = 52496640.

The previous prime is 189862847. The next prime is 189862859. The reversal of 189862848 is 848268981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

189862848 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 628 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×1898628482 = 72095802101342208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 189862794 and 189862803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189862847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6124593 + ... + 6124623.

Almost surely, 2189862848 is an apocalyptic number.

189862848 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 189862848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327888600).

189862848 is an abundant number, since it is smaller than the sum of its proper divisors (465914352).

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

189862848 is an equidigital number, since it uses as much as digits as its factorization.

189862848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 43 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 189862848 is about 13779.0728280244. The cubic root of 189862848 is about 574.7513460473.

It can be divided in two parts, 1898 and 62848, that added together give a palindrome (64746).

The spelling of 189862848 in words is "one hundred eighty-nine million, eight hundred sixty-two thousand, eight hundred forty-eight".