| Base | Representation |
|---|---|
| bin | 111001010010101… |
| … | …001001010000000 |
| 3 | 2110222122102201100 |
| 4 | 321102221022000 |
| 5 | 3432031012410 |
| 6 | 235213334400 |
| 7 | 32550652530 |
| oct | 7122511200 |
| 9 | 2428572640 |
| 10 | 961188480 |
| 11 | 45362514a |
| 12 | 229a97400 |
| 13 | 12419b5a5 |
| 14 | 919274c0 |
| 15 | 595b68c0 |
| hex | 394a9280 |
961188480 has 384 divisors, whose sum is σ = 3920716800. Its totient is φ = 212336640.
The previous prime is 961188457. The next prime is 961188521. The reversal of 961188480 is 84881169.
Added to its reverse (84881169) it gives a square (1046069649 = 323432).
961188480 is a `hidden beast` number, since 96 + 1 + 1 + 88 + 480 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (45).
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 47 ways as a sum of consecutive naturals, for example, 1249536 + ... + 1250304.
It is an arithmetic number, because the mean of its divisors is an integer number (10210200).
Almost surely, 2961188480 is an apocalyptic number.
961188480 is a gapful number since it is divisible by the number (90) 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 961188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960358400).
961188480 is an abundant number, since it is smaller than the sum of its proper divisors (2959528320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
961188480 is a wasteful number, since it uses less digits than its factorization.
961188480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 832 (or 817 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 45.
The square root of 961188480 is about 31003.0398509566. The cubic root of 961188480 is about 986.8917512618.
Adding to 961188480 its reverse (84881169), we get a square (1046069649 = 323432).
The spelling of 961188480 in words is "nine hundred sixty-one million, one hundred eighty-eight thousand, four hundred eighty".
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