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189913248 = 253671163
BaseRepresentation
bin10110101000111…
…01100010100000
3111020100121000000
423110131202200
5342104210443
630502300000
74464143640
oct1324354240
9436317000
10189913248
11982236a8
1253727600
1330465105
141b318520
1511a158d3
hexb51d8a0

189913248 has 168 divisors, whose sum is σ = 641215008. Its totient is φ = 54214272.

The previous prime is 189913237. The next prime is 189913249. The reversal of 189913248 is 842319981.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (189913249) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 162715 + ... + 163877.

It is an arithmetic number, because the mean of its divisors is an integer number (3816756).

Almost surely, 2189913248 is an apocalyptic number.

189913248 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 189913248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320607504).

189913248 is an abundant number, since it is smaller than the sum of its proper divisors (451301760).

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

189913248 is an equidigital number, since it uses as much as digits as its factorization.

189913248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1175 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 189913248 is about 13780.9015670238. The cubic root of 189913248 is about 574.8021983781.

The spelling of 189913248 in words is "one hundred eighty-nine million, nine hundred thirteen thousand, two hundred forty-eight".