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574680480 = 253511313511
BaseRepresentation
bin100010010000001…
…110110110100000
31111001100210102020
4202100032312200
52134104233410
6133005221440
720145463203
oct4220166640
91431323366
10574680480
11275434a50
12140561880
13920a212a
145647593a
15356baa70
hex2240eda0

574680480 has 192 divisors, whose sum is σ = 2039095296. Its totient is φ = 134784000.

The previous prime is 574680433. The next prime is 574680493. The reversal of 574680480 is 84086475.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161925 + ... + 165435.

It is an arithmetic number, because the mean of its divisors is an integer number (10620288).

Almost surely, 2574680480 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 574680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019547648).

574680480 is an abundant number, since it is smaller than the sum of its proper divisors (1464414816).

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

574680480 is a wasteful number, since it uses less digits than its factorization.

574680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 574680480 is about 23972.4942381889. The cubic root of 574680480 is about 831.3976933943.

The spelling of 574680480 in words is "five hundred seventy-four million, six hundred eighty thousand, four hundred eighty".