Search a number
-
+
928992480 = 253513533
BaseRepresentation
bin110111010111110…
…100110011100000
32101202001201002220
4313113310303200
53400310224410
6232103311040
732010206613
oct6727646340
92352051086
10928992480
11437434889
1221b14b480
1311a607bc0
148b54617a
1556857070
hex375f4ce0

928992480 has 192 divisors, whose sum is σ = 3212032320. Its totient is φ = 224360448.

The previous prime is 928992457. The next prime is 928992487. The reversal of 928992480 is 84299829.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1378 × 530 × 1272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928992487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17528134 + ... + 17528186.

It is an arithmetic number, because the mean of its divisors is an integer number (16729335).

Almost surely, 2928992480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606016160).

928992480 is an abundant number, since it is smaller than the sum of its proper divisors (2283039840).

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

928992480 is an equidigital number, since it uses as much as digits as its factorization.

928992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 928992480 is about 30479.3779464083. The cubic root of 928992480 is about 975.7473927467.

The spelling of 928992480 in words is "nine hundred twenty-eight million, nine hundred ninety-two thousand, four hundred eighty".