| Base | Representation |
|---|---|
| bin | 1000110110111100… |
| … | …11001011000010000 |
| 3 | 110021110002210022000 |
| 4 | 10123132121120100 |
| 5 | 34220003423100 |
| 6 | 2103531514000 |
| 7 | 225566441100 |
| oct | 43336313020 |
| 9 | 13243083260 |
| 10 | 4755920400 |
| 11 | 2020658430 |
| 12 | b088b8900 |
| 13 | 5aa40cbaa |
| 14 | 3318c7200 |
| 15 | 1cc7e1900 |
| hex | 11b799610 |
4755920400 has 1440 divisors, whose sum is σ = 23137804800. Its totient is φ = 914457600.
The previous prime is 4755920387. The next prime is 4755920401. The reversal of 4755920400 is 40295574.
4755920400 is a `hidden beast` number, since 47 + 559 + 20 + 40 + 0 = 666.
It is a super-2 number, since 2×47559204002 = 45237557702272320000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a zygodrome in base 7.
It is not an unprimeable number, because it can be changed into a prime (4755920401) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110602779 + ... + 110602821.
It is an arithmetic number, because the mean of its divisors is an integer number (16067920).
Almost surely, 24755920400 is an apocalyptic number.
4755920400 is a gapful number since it is divisible by the number (40) 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 4755920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11568902400).
4755920400 is an abundant number, since it is smaller than the sum of its proper divisors (18381884400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4755920400 is a wasteful number, since it uses less digits than its factorization.
4755920400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114 (or 90 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
The square root of 4755920400 is about 68963.1814811353. The cubic root of 4755920400 is about 1681.6858077985.
The spelling of 4755920400 in words is "four billion, seven hundred fifty-five million, nine hundred twenty thousand, four hundred".
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