| Base | Representation |
|---|---|
| bin | 11101101010111… |
| … | …00011010100000 |
| 3 | 122100022222022200 |
| 4 | 32311130122200 |
| 5 | 1002204003130 |
| 6 | 40410333200 |
| 7 | 6111352566 |
| oct | 1665343240 |
| 9 | 570288280 |
| 10 | 248891040 |
| 11 | 118546582 |
| 12 | 6b42a200 |
| 13 | 3c744a08 |
| 14 | 250aba36 |
| 15 | 16cb5760 |
| hex | ed5c6a0 |
248891040 has 144 divisors (see below), whose sum is σ = 853620768. Its totient is φ = 66037248.
The previous prime is 248891011. The next prime is 248891053. The reversal of 248891040 is 40198842.
248891040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 248890986 and 248891004.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441799 + ... + 442361.
It is an arithmetic number, because the mean of its divisors is an integer number (5927922).
Almost surely, 2248891040 is an apocalyptic number.
248891040 is a gapful number since it is divisible by the number (20) 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 248891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426810384).
248891040 is an abundant number, since it is smaller than the sum of its proper divisors (604729728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248891040 is a wasteful number, since it uses less digits than its factorization.
248891040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 891 (or 880 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 248891040 is about 15776.2809305615. The cubic root of 248891040 is about 629.0276762305.
It can be divided in two parts, 2488 and 91040, that added together give a triangular number (93528 = T432).
The spelling of 248891040 in words is "two hundred forty-eight million, eight hundred ninety-one thousand, forty".
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