| Base | Representation |
|---|---|
| bin | 1000001011010101… |
| … | …11111010001000100 |
| 3 | 102022221210100000000 |
| 4 | 10011222333101010 |
| 5 | 32442332410224 |
| 6 | 2003343321300 |
| 7 | 213535266102 |
| oct | 40552772104 |
| 9 | 12287710000 |
| 10 | 4390122564 |
| 11 | 1953123073 |
| 12 | a262b0230 |
| 13 | 54c6b5179 |
| 14 | 2d90a6c72 |
| 15 | 1aa6370c9 |
| hex | 105abf444 |
4390122564 has 81 divisors (see below), whose sum is σ = 11551729917. Its totient is φ = 1459796256.
The previous prime is 4390122523. The next prime is 4390122571. The reversal of 4390122564 is 4652210934.
It is a happy number.
The square root of 4390122564 is 66258.
It is a perfect power (a square), and thus also a powerful number.
4390122564 is a `hidden beast` number, since 4 + 3 + 90 + 1 + 2 + 2 + 564 = 666.
It can be written as a sum of positive squares in only one way, i.e., 4012208964 + 377913600 = 63342^2 + 19440^2 .
It is a tau number, because it is divible by the number of its divisors (81).
It is a super-2 number, since 2×43901225642 = 38546352253883868192, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10733592 + ... + 10734000.
Almost surely, 24390122564 is an apocalyptic number.
4390122564 is the 66258-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4390122564
4390122564 is an abundant number, since it is smaller than the sum of its proper divisors (7161607353).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4390122564 is an frugal number, since it uses more digits than its factorization.
4390122564 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 846 (or 414 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The cubic root of 4390122564 is about 1637.4154416954.
Multiplying 4390122564 by its sum of digits (36), we get a square (158044412304 = 3975482).
4390122564 divided by its sum of digits (36) gives a square (121947849 = 110432).
The spelling of 4390122564 in words is "four billion, three hundred ninety million, one hundred twenty-two thousand, five hundred sixty-four".
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