Search a number
-
+
523294992 = 24341124771
BaseRepresentation
bin11111001100001…
…101100100010000
31100110200010210000
4133030031210100
52032430414432
6123532010000
715652635243
oct3714154420
91313603700
10523294992
11249428300
12127300900
138455020c
144d6db25a
1530e1a57c
hex1f30d910

523294992 has 300 divisors, whose sum is σ = 1724139648. Its totient is φ = 153014400.

The previous prime is 523294987. The next prime is 523295009. The reversal of 523294992 is 299492325.

Its product of digits (349920) is a multiple of the sum of its prime factors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7370317 + ... + 7370387.

Almost surely, 2523294992 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 523294992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862069824).

523294992 is an abundant number, since it is smaller than the sum of its proper divisors (1200844656).

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

523294992 is a wasteful number, since it uses less digits than its factorization.

523294992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 523294992 is about 22875.6418926333. The cubic root of 523294992 is about 805.8400715471.

The spelling of 523294992 in words is "five hundred twenty-three million, two hundred ninety-four thousand, nine hundred ninety-two".