Search a number
-
+
488744928 = 253674173
BaseRepresentation
bin11101001000011…
…010011111100000
31021001122211000000
4131020122133200
52000104314203
6120255300000
715053156220
oct3510323740
91231584000
10488744928
1123097a331
1211781a600
137a3441a9
1448ca6080
152cd934a3
hex1d21a7e0

488744928 has 336 divisors, whose sum is σ = 1712110176. Its totient is φ = 134369280.

The previous prime is 488744899. The next prime is 488744929. The reversal of 488744928 is 829447884.

488744928 is a `hidden beast` number, since 4 + 88 + 74 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4128768) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488744929) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6695100 + ... + 6695172.

It is an arithmetic number, because the mean of its divisors is an integer number (5095566).

Almost surely, 2488744928 is an apocalyptic number.

488744928 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 488744928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856055088).

488744928 is an abundant number, since it is smaller than the sum of its proper divisors (1223365248).

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

488744928 is an equidigital number, since it uses as much as digits as its factorization.

488744928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 488744928 is about 22107.5762579257. The cubic root of 488744928 is about 787.6998350001.

The spelling of 488744928 in words is "four hundred eighty-eight million, seven hundred forty-four thousand, nine hundred twenty-eight".