Base | Representation |
---|---|
bin | 10110100010000… |
… | …10011001001000 |
3 | 111011122222200200 |
4 | 23101002121020 |
5 | 341341444444 |
6 | 30431132200 |
7 | 4453414650 |
oct | 1321023110 |
9 | 434588620 |
10 | 189015624 |
11 | 97770266 |
12 | 53374060 |
13 | 3020c685 |
14 | 1b163360 |
15 | 118d9969 |
hex | b442648 |
189015624 has 96 divisors (see below), whose sum is σ = 589854720. Its totient is φ = 53561088.
The previous prime is 189015613. The next prime is 189015641. The reversal of 189015624 is 426510981.
189015624 is a `hidden beast` number, since 1 + 8 + 90 + 1 + 562 + 4 = 666.
It is a super-2 number, since 2×1890156242 = 71453812232218752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62532 + ... + 65484.
It is an arithmetic number, because the mean of its divisors is an integer number (6144320).
Almost surely, 2189015624 is an apocalyptic number.
189015624 is a gapful number since it is divisible by the number (14) 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 189015624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294927360).
189015624 is an abundant number, since it is smaller than the sum of its proper divisors (400839096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189015624 is a wasteful number, since it uses less digits than its factorization.
189015624 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3099 (or 3092 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 36.
The square root of 189015624 is about 13748.2953125106. The cubic root of 189015624 is about 573.8951679604.
The spelling of 189015624 in words is "one hundred eighty-nine million, fifteen thousand, six hundred twenty-four".
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