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523329480 = 2332537101389
BaseRepresentation
bin11111001100010…
…101111111001000
31100110201220002100
4133030111333020
52032433020410
6123532433400
715653140632
oct3714257710
91313656070
10523329480
11249451203
12127318860
1384562b1b
144d709a52
1530e258c0
hex1f315fc8

523329480 has 192 divisors, whose sum is σ = 1768618800. Its totient is φ = 134092800.

The previous prime is 523329449. The next prime is 523329497. The reversal of 523329480 is 84923325.

It can be written as a sum of positive squares in 8 ways, for example, as 413959716 + 109369764 = 20346^2 + 10458^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1345126 + ... + 1345514.

Almost surely, 2523329480 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 523329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884309400).

523329480 is an abundant number, since it is smaller than the sum of its proper divisors (1245289320).

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

523329480 is a wasteful number, since it uses less digits than its factorization.

523329480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 523329480 is about 22876.3956951265. The cubic root of 523329480 is about 805.8577742465.

The spelling of 523329480 in words is "five hundred twenty-three million, three hundred twenty-nine thousand, four hundred eighty".