Base | Representation |
---|---|
bin | 11101001111010… |
… | …01100000000000 |
3 | 122002112020112100 |
4 | 32213221200000 |
5 | 1000242241444 |
6 | 40201030400 |
7 | 6035541240 |
oct | 1647514000 |
9 | 562466470 |
10 | 245274624 |
11 | 1164a6501 |
12 | 6a185400 |
13 | 3ba7991a |
14 | 24809b20 |
15 | 167ede69 |
hex | e9e9800 |
245274624 has 144 divisors (see below), whose sum is σ = 810023760. Its totient is φ = 70041600.
The previous prime is 245274611. The next prime is 245274643. The reversal of 245274624 is 426472542.
245274624 is a `hidden beast` number, since 2 + 4 + 5 + 27 + 4 + 624 = 666.
245274624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
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 pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128074 + ... + 129974.
It is an arithmetic number, because the mean of its divisors is an integer number (5625165).
Almost surely, 2245274624 is an apocalyptic number.
245274624 is a gapful number since it is divisible by the number (24) 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 245274624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405011880).
245274624 is an abundant number, since it is smaller than the sum of its proper divisors (564749136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
245274624 is a wasteful number, since it uses less digits than its factorization.
245274624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1936 (or 1913 counting only the distinct ones).
The product of its digits is 107520, while the sum is 36.
The square root of 245274624 is about 15661.2459274478. The cubic root of 245274624 is about 625.9661847562.
The spelling of 245274624 in words is "two hundred forty-five million, two hundred seventy-four thousand, six hundred twenty-four".
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