| Base | Representation |
|---|---|
| bin | 101010100100011… |
| … | …1110000010100000 |
| 3 | 10200112210222111100 |
| 4 | 1111020332002200 |
| 5 | 10411133231444 |
| 6 | 353423514400 |
| 7 | 50253216060 |
| oct | 12510760240 |
| 9 | 3615728440 |
| 10 | 1428414624 |
| 11 | 67333705a |
| 12 | 33a458a00 |
| 13 | 199c19c70 |
| 14 | d79cb3a0 |
| 15 | 85608e69 |
| hex | 5523e0a0 |
1428414624 has 144 divisors (see below), whose sum is σ = 4999542912. Its totient is φ = 376717824.
The previous prime is 1428414601. The next prime is 1428414629. The reversal of 1428414624 is 4264148241.
1428414624 is a `hidden beast` number, since 1 + 4 + 28 + 4 + 1 + 4 + 624 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×14284146242 = 4080736676114122752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (1428414629) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044 + ... + 53459.
It is an arithmetic number, because the mean of its divisors is an integer number (34719048).
Almost surely, 21428414624 is an apocalyptic number.
1428414624 is a gapful number since it is divisible by the number (14) 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 1428414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499771456).
1428414624 is an abundant number, since it is smaller than the sum of its proper divisors (3571128288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1428414624 is a wasteful number, since it uses less digits than its factorization.
1428414624 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 54539 (or 54528 counting only the distinct ones).
The product of its digits is 49152, while the sum is 36.
The square root of 1428414624 is about 37794.3729144961. The cubic root of 1428414624 is about 1126.2066720787.
The spelling of 1428414624 in words is "one billion, four hundred twenty-eight million, four hundred fourteen thousand, six hundred twenty-four".
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