Search a number
-
+
483408 = 2434373
BaseRepresentation
bin1110110000001010000
3220120010000
41312001100
5110432113
614210000
74052232
oct1660120
9816100
10483408
11300212
121b3900
1313c053
14c8252
1598373
hex76050

483408 has 50 divisors (see below), whose sum is σ = 1402874. Its totient is φ = 160704.

The previous prime is 483407. The next prime is 483409. The reversal of 483408 is 804384.

It is an interprime number because it is at equal distance from previous prime (483407) and next prime (483409).

It can be written as a sum of positive squares in only one way, i.e., 419904 + 63504 = 648^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1110 + ... + 1482.

2483408 is an apocalyptic number.

483408 is a gapful number since it is divisible by the number (48) 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 483408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701437).

483408 is an abundant number, since it is smaller than the sum of its proper divisors (919466).

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

483408 is a wasteful number, since it uses less digits than its factorization.

483408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 483408 is about 695.2754849698. The cubic root of 483408 is about 78.4822197279.

The spelling of 483408 in words is "four hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 373 432 648 746 1119 1296 1492 2238 2984 3357 4476 5968 6714 8952 10071 13428 17904 20142 26856 30213 40284 53712 60426 80568 120852 161136 241704 483408