| Base | Representation |
|---|---|
| bin | 11100000000111… |
| … | …101100101000000 |
| 3 | 1012202102012101000 |
| 4 | 130000331211000 |
| 5 | 1430310424042 |
| 6 | 114350012000 |
| 7 | 14435025000 |
| oct | 3400754500 |
| 9 | 1182365330 |
| 10 | 470014272 |
| 11 | 221346752 |
| 12 | 1114a7000 |
| 13 | 764b6770 |
| 14 | 465cc000 |
| 15 | 2b3e374c |
| hex | 1c03d940 |
470014272 has 448 divisors, whose sum is σ = 1763776000. Its totient is φ = 121927680.
The previous prime is 470014247. The next prime is 470014273. The reversal of 470014272 is 272410074.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 470014272 = 2383 + 7703 = 3363 + 7563.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (470014273) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 7705122 + ... + 7705182.
It is an arithmetic number, because the mean of its divisors is an integer number (3937000).
Almost surely, 2470014272 is an apocalyptic number.
470014272 is a gapful number since it is divisible by the number (42) 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 470014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881888000).
470014272 is an abundant number, since it is smaller than the sum of its proper divisors (1293761728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
470014272 is a wasteful number, since it uses less digits than its factorization.
470014272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 3136, while the sum is 27.
The square root of 470014272 is about 21679.8125453151. The cubic root of 470014272 is about 777.5058794784.
The spelling of 470014272 in words is "four hundred seventy million, fourteen thousand, two hundred seventy-two".
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