Search a number
-
+
483361920 = 27325312707
BaseRepresentation
bin11100110011111…
…000010010000000
31020200112022220100
4130303320102000
51442220040140
6115544042400
714656336266
oct3463702200
91220468810
10483361920
11228932a68
12115a63400
13791aac92
14482a4436
152c67d530
hex1ccf8480

483361920 has 192 divisors, whose sum is σ = 1723587840. Its totient is φ = 124692480.

The previous prime is 483361913. The next prime is 483361927. The reversal of 483361920 is 29163384.

483361920 is a `hidden beast` number, since 4 + 8 + 33 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (483361913) and next prime (483361927).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483361927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177207 + ... + 179913.

It is an arithmetic number, because the mean of its divisors is an integer number (8977020).

Almost surely, 2483361920 is an apocalyptic number.

483361920 is a gapful number since it is divisible by the number (40) 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 483361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861793920).

483361920 is an abundant number, since it is smaller than the sum of its proper divisors (1240225920).

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

483361920 is a wasteful number, since it uses less digits than its factorization.

483361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 483361920 is about 21985.4933990575. The cubic root of 483361920 is about 784.7972592310.

The spelling of 483361920 in words is "four hundred eighty-three million, three hundred sixty-one thousand, nine hundred twenty".