| Base | Representation |
|---|---|
| bin | 1110100101010010… |
| … | …00101110111000000 |
| 3 | 202012121120002200000 |
| 4 | 13102221011313000 |
| 5 | 112013203021220 |
| 6 | 3332505400000 |
| 7 | 365003005260 |
| oct | 72251056700 |
| 9 | 22177502600 |
| 10 | 7828954560 |
| 11 | 3358271489 |
| 12 | 1625a99000 |
| 13 | 979c85cbb |
| 14 | 543aa17a0 |
| 15 | 30c4b0390 |
| hex | 1d2a45dc0 |
7828954560 has 672 divisors, whose sum is σ = 33639191040. Its totient is φ = 1693052928.
The previous prime is 7828954513. The next prime is 7828954571. The reversal of 7828954560 is 654598287.
7828954560 is a `hidden beast` number, since 7 + 8 + 28 + 9 + 54 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×78289545602 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 7828954497 and 7828954506.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10341702 + ... + 10342458.
It is an arithmetic number, because the mean of its divisors is an integer number (50058320).
Almost surely, 27828954560 is an apocalyptic number.
7828954560 is a gapful number since it is divisible by the number (70) 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 7828954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819595520).
7828954560 is an abundant number, since it is smaller than the sum of its proper divisors (25810236480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7828954560 is a wasteful number, since it uses less digits than its factorization.
7828954560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 815 (or 793 counting only the distinct ones).
The product of its (nonzero) digits is 4838400, while the sum is 54.
The square root of 7828954560 is about 88481.3797360778. The cubic root of 7828954560 is about 1985.6434039977.
The spelling of 7828954560 in words is "seven billion, eight hundred twenty-eight million, nine hundred fifty-four thousand, five hundred sixty".
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