Search a number
-
+
487738368 = 21033132359
BaseRepresentation
bin11101000100100…
…100110000000000
31020222202200021000
4131010210300000
51444330111433
6120221532000
715041464515
oct3504446000
91228680230
10487738368
11230352067
12117414000
137a080cb0
1448ac330c
152cc45113
hex1d124c00

487738368 has 352 divisors, whose sum is σ = 1650700800. Its totient is φ = 141115392.

The previous prime is 487738367. The next prime is 487738399. The reversal of 487738368 is 863837784.

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

It is not an unprimeable number, because it can be changed into a prime (487738367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8266723 + ... + 8266781.

Almost surely, 2487738368 is an apocalyptic number.

487738368 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 487738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825350400).

487738368 is an abundant number, since it is smaller than the sum of its proper divisors (1162962432).

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

487738368 is a wasteful number, since it uses less digits than its factorization.

487738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 487738368 is about 22084.7994783743. The cubic root of 487738368 is about 787.1587128852.

The spelling of 487738368 in words is "four hundred eighty-seven million, seven hundred thirty-eight thousand, three hundred sixty-eight".