Search a number
-
+
284808640 = 265890027
BaseRepresentation
bin10000111110011…
…101010111000000
3201211220210000011
4100332131113000
51040402334030
644132234304
710025555614
oct2076352700
9654823004
10284808640
11136848a46
127b46b994
134700c32c
1429b7b344
151a00cb2a
hex10f9d5c0

284808640 has 28 divisors (see below), whose sum is σ = 678201336. Its totient is φ = 113923328.

The previous prime is 284808631. The next prime is 284808659. The reversal of 284808640 is 46808482.

It is a super-2 number, since 2×2848086402 = 162231922837299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 284808593 and 284808602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 444694 + ... + 445333.

Almost surely, 2284808640 is an apocalyptic number.

284808640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284808640 is an abundant number, since it is smaller than the sum of its proper divisors (393392696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284808640 is an equidigital number, since it uses as much as digits as its factorization.

284808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890044 (or 890034 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 284808640 is about 16876.2744703919. The cubic root of 284808640 is about 657.9371157835.

The spelling of 284808640 in words is "two hundred eighty-four million, eight hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 890027 1780054 3560108 4450135 7120216 8900270 14240432 17800540 28480864 35601080 56961728 71202160 142404320 284808640