| Base | Representation |
|---|---|
| bin | 1011010111100110001… |
| … | …01101101101000000000 |
| 3 | 1101100021100122020201000 |
| 4 | 11223303011231220000 |
| 5 | 22400000101331403 |
| 6 | 455241214212000 |
| 7 | 40136030160240 |
| oct | 5536305555000 |
| 9 | 1340240566630 |
| 10 | 390625417728 |
| 11 | 140732956a47 |
| 12 | 638577b4000 |
| 13 | 2aab33a8b40 |
| 14 | 14c99121b20 |
| 15 | a2638c97a3 |
| hex | 5af316da00 |
390625417728 has 1280 divisors, whose sum is σ = 1528902144000. Its totient is φ = 95599263744.
The previous prime is 390625417727. The next prime is 390625417729. The reversal of 390625417728 is 827714526093.
It is a happy number.
390625417728 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 2 + 541 + 77 + 28 = 666.
It is an interprime number because it is at equal distance from previous prime (390625417727) and next prime (390625417729).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (390625417727) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1410199926 + ... + 1410200202.
It is an arithmetic number, because the mean of its divisors is an integer number (1194454800).
It is a 1-persistent number, because it is pandigital, but 2⋅390625417728 = 781250835456 is not.
Almost surely, 2390625417728 is an apocalyptic number.
390625417728 is a gapful number since it is divisible by the number (38) 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 390625417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764451072000).
390625417728 is an abundant number, since it is smaller than the sum of its proper divisors (1138276726272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
390625417728 is a wasteful number, since it uses less digits than its factorization.
390625417728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 402 (or 380 counting only the distinct ones).
The product of its (nonzero) digits is 5080320, while the sum is 54.
The spelling of 390625417728 in words is "three hundred ninety billion, six hundred twenty-five million, four hundred seventeen thousand, seven hundred twenty-eight".
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