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189819648 = 283282387
BaseRepresentation
bin10110101000001…
…10101100000000
3111020011211121100
423110012230000
5342043212043
630500254400
74463304024
oct1324065400
9436154540
10189819648
119816a347
12536a1400
1330431625
141b2d2384
15119e7cd3
hexb506b00

189819648 has 54 divisors (see below), whose sum is σ = 547303484. Its totient is φ = 63272448.

The previous prime is 189819647. The next prime is 189819653. The reversal of 189819648 is 846918981.

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 = 189819594 and 189819603.

It is not an unprimeable number, because it can be changed into a prime (189819647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38890 + ... + 43497.

Almost surely, 2189819648 is an apocalyptic number.

189819648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189819648 is an abundant number, since it is smaller than the sum of its proper divisors (357483836).

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

189819648 is an equidigital number, since it uses as much as digits as its factorization.

189819648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82409 (or 82392 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 189819648 is about 13777.5051442560. The cubic root of 189819648 is about 574.7077511721.

The spelling of 189819648 in words is "one hundred eighty-nine million, eight hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 82387 164774 247161 329548 494322 659096 741483 988644 1318192 1482966 1977288 2636384 2965932 3954576 5272768 5931864 7909152 10545536 11863728 15818304 21091072 23727456 31636608 47454912 63273216 94909824 189819648