Base | Representation |
---|---|
bin | 11100001011000… |
… | …010101110001100 |
3 | 1012221101110012200 |
4 | 130023002232030 |
5 | 1432000004110 |
6 | 114522401500 |
7 | 14466342051 |
oct | 3413025614 |
9 | 1187343180 |
10 | 472656780 |
11 | 222891042 |
12 | 112360290 |
13 | 76c0048b |
14 | 46ab9028 |
15 | 2b7666c0 |
hex | 1c2c2b8c |
472656780 has 144 divisors (see below), whose sum is σ = 1537177824. Its totient is φ = 117135360.
The previous prime is 472656773. The next prime is 472656799. The reversal of 472656780 is 87656274.
472656780 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 567 + 80 = 666.
It is a super-3 number, since 3×4726567803 (a number of 27 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253050 + ... + 254910.
It is an arithmetic number, because the mean of its divisors is an integer number (10674846).
Almost surely, 2472656780 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 472656780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768588912).
472656780 is an abundant number, since it is smaller than the sum of its proper divisors (1064521044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
472656780 is a wasteful number, since it uses less digits than its factorization.
472656780 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1976 (or 1971 counting only the distinct ones).
The product of its (nonzero) digits is 564480, while the sum is 45.
The square root of 472656780 is about 21740.6711027972. The cubic root of 472656780 is about 778.9602517012.
It can be divided in two parts, 47265 and 6780, that added together give a palindrome (54045).
The spelling of 472656780 in words is "four hundred seventy-two million, six hundred fifty-six thousand, seven hundred eighty".
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