Search a number
-
+
408790848 = 2632129119
BaseRepresentation
bin11000010111011…
…010011101000000
31001111012201121210
4120113122131000
51314122301343
6104321450120
713062444024
oct3027323500
91044181553
10408790848
1119a82a684
12b4aa0940
13668cb99b
143c412384
1525d4d333
hex185da740

408790848 has 28 divisors (see below), whose sum is σ = 1081592960. Its totient is φ = 136263552.

The previous prime is 408790847. The next prime is 408790849. The reversal of 408790848 is 848097804.

It is an interprime number because it is at equal distance from previous prime (408790847) and next prime (408790849).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 408790797 and 408790806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408790841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1064368 + ... + 1064751.

It is an arithmetic number, because the mean of its divisors is an integer number (38628320).

Almost surely, 2408790848 is an apocalyptic number.

408790848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408790848 is an abundant number, since it is smaller than the sum of its proper divisors (672802112).

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

408790848 is a wasteful number, since it uses less digits than its factorization.

408790848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129134 (or 2129124 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 408790848 is about 20218.5768045132. The cubic root of 408790848 is about 742.1648609394.

The spelling of 408790848 in words is "four hundred eight million, seven hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2129119 4258238 6387357 8516476 12774714 17032952 25549428 34065904 51098856 68131808 102197712 136263616 204395424 408790848