Search a number
-
+
487812528 = 243273167233
BaseRepresentation
bin11101000100110…
…110110110110000
31020222220102222200
4131010312312300
51444340000103
6120223303200
715042223650
oct3504666660
91228812880
10487812528
112303a2855
1211744ab00
137a0a8988
1448b02360
152cc5c0a3
hex1d136db0

487812528 has 240 divisors, whose sum is σ = 1641609216. Its totient is φ = 132295680.

The previous prime is 487812487. The next prime is 487812539. The reversal of 487812528 is 825218784.

It is a happy number.

487812528 is a `hidden beast` number, since 48 + 7 + 81 + 2 + 528 = 666.

It is a super-2 number, since 2×4878125282 = 475922124947501568, which contains 22 as substring.

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, 2093500 + ... + 2093732.

Almost surely, 2487812528 is an apocalyptic number.

487812528 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 487812528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820804608).

487812528 is an abundant number, since it is smaller than the sum of its proper divisors (1153796688).

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

487812528 is a wasteful number, since it uses less digits than its factorization.

487812528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 487812528 is about 22086.4783974268. The cubic root of 487812528 is about 787.1986063578.

The spelling of 487812528 in words is "four hundred eighty-seven million, eight hundred twelve thousand, five hundred twenty-eight".