Search a number
-
+
5288976 = 243471153
BaseRepresentation
bin10100001011010000010000
3100221201010000
4110023100100
52323221401
6305210000
762645520
oct24132020
910851100
105288976
112a92760
121930900
131132494
149b9680
156e7186
hex50b410

5288976 has 200 divisors, whose sum is σ = 19445184. Its totient is φ = 1347840.

The previous prime is 5288963. The next prime is 5288993. The reversal of 5288976 is 6798825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99766 + ... + 99818.

Almost surely, 25288976 is an apocalyptic number.

5288976 is a gapful number since it is divisible by the number (56) 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 5288976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722592).

5288976 is an abundant number, since it is smaller than the sum of its proper divisors (14156208).

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

5288976 is a wasteful number, since it uses less digits than its factorization.

5288976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5288976 is about 2299.7773805306. Note that the first 3 decimals coincide. The cubic root of 5288976 is about 174.2303726211.

The spelling of 5288976 in words is "five million, two hundred eighty-eight thousand, nine hundred seventy-six".