| Base | Representation |
|---|---|
| bin | 10111110110000… |
| … | …100010010000000 |
| 3 | 1000212202121110000 |
| 4 | 113312010102000 |
| 5 | 1304403034110 |
| 6 | 103410240000 |
| 7 | 12625235301 |
| oct | 2766042200 |
| 9 | 1025677400 |
| 10 | 400049280 |
| 11 | 1958a9a44 |
| 12 | b1b86000 |
| 13 | 64b5ab67 |
| 14 | 3b1b87a8 |
| 15 | 251c31c0 |
| hex | 17d84480 |
400049280 has 160 divisors (see below), whose sum is σ = 1428833340. Its totient is φ = 106665984.
The previous prime is 400049263. The next prime is 400049297. The reversal of 400049280 is 82940004.
It is an interprime number because it is at equal distance from previous prime (400049263) and next prime (400049297).
It can be written as a sum of positive squares in 2 ways, for example, as 397763136 + 2286144 = 19944^2 + 1512^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (27).
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 19 ways as a sum of consecutive naturals, for example, 47982 + ... + 55698.
Almost surely, 2400049280 is an apocalyptic number.
400049280 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 400049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714416670).
400049280 is an abundant number, since it is smaller than the sum of its proper divisors (1028784060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
400049280 is an equidigital number, since it uses as much as digits as its factorization.
400049280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7748 (or 7727 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 400049280 is about 20001.2319620567. The cubic root of 400049280 is about 736.8365566643.
Adding to 400049280 its reverse (82940004), we get a palindrome (482989284).
It can be divided in two parts, 40004 and 9280, that added together give a square (49284 = 2222).
The spelling of 400049280 in words is "four hundred million, forty-nine thousand, two hundred eighty".
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