Search a number
-
+
488057976 = 233272371593
BaseRepresentation
bin11101000101110…
…010110001111000
31021000100220200100
4131011302301320
51444420323401
6120232435400
715044265360
oct3505626170
91230326610
10488057976
112305501aa
12117548b60
137a163603
1448b679a0
152cca9b86
hex1d172c78

488057976 has 192 divisors, whose sum is σ = 1601233920. Its totient is φ = 131281920.

The previous prime is 488057963. The next prime is 488058013. The reversal of 488057976 is 679750884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822736 + ... + 823328.

It is an arithmetic number, because the mean of its divisors is an integer number (8339760).

Almost surely, 2488057976 is an apocalyptic number.

488057976 is a gapful number since it is divisible by the number (46) 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 488057976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800616960).

488057976 is an abundant number, since it is smaller than the sum of its proper divisors (1113175944).

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

488057976 is a wasteful number, since it uses less digits than its factorization.

488057976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 488057976 is about 22092.0342205058. The cubic root of 488057976 is about 787.3306133040.

The spelling of 488057976 in words is "four hundred eighty-eight million, fifty-seven thousand, nine hundred seventy-six".