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189459648 = 2634723227
BaseRepresentation
bin10110100101011…
…10110011000000
3111012111112210000
423102232303000
5342000202043
630444440000
74460244330
oct1322566300
9435445700
10189459648
1197a43924
1253549000
1330336801
141b23b0c0
15119762d3
hexb4aecc0

189459648 has 280 divisors, whose sum is σ = 672705792. Its totient is φ = 51549696.

The previous prime is 189459637. The next prime is 189459709. The reversal of 189459648 is 846954981.

189459648 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 596 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 189459594 and 189459603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 834511 + ... + 834737.

Almost surely, 2189459648 is an apocalyptic number.

189459648 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 189459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336352896).

189459648 is an abundant number, since it is smaller than the sum of its proper divisors (483246144).

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

189459648 is a wasteful number, since it uses less digits than its factorization.

189459648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 189459648 is about 13764.4341692639. The cubic root of 189459648 is about 574.3442030618.

The spelling of 189459648 in words is "one hundred eighty-nine million, four hundred fifty-nine thousand, six hundred forty-eight".