Search a number
-
+
483204096 = 2103317477
BaseRepresentation
bin11100110011010…
…001110000000000
31020200020022102000
4130303101300000
51442200012341
6115540424000
714655111204
oct3463216000
91220208360
10483204096
11228835431
121159a8000
13791541ab
1448262b04
152c64b8b6
hex1ccd1c00

483204096 has 88 divisors (see below), whose sum is σ = 1431098640. Its totient is φ = 161058816.

The previous prime is 483204091. The next prime is 483204101. The reversal of 483204096 is 690402384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (483204091) and next prime (483204101).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 483204096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483204091) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18910 + ... + 36386.

Almost surely, 2483204096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715549320).

483204096 is an abundant number, since it is smaller than the sum of its proper divisors (947894544).

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

483204096 is a wasteful number, since it uses less digits than its factorization.

483204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17506 (or 17482 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 483204096 is about 21981.9038301963. The cubic root of 483204096 is about 784.7118344036.

The spelling of 483204096 in words is "four hundred eighty-three million, two hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 17477 27648 34954 52431 69908 104862 139816 157293 209724 279632 314586 419448 471879 559264 629172 838896 943758 1118528 1258344 1677792 1887516 2237056 2516688 3355584 3775032 4474112 5033376 6711168 7550064 8948224 10066752 13422336 15100128 17896448 20133504 26844672 30200256 40267008 53689344 60400512 80534016 120801024 161068032 241602048 483204096