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575580096 = 263271379139
BaseRepresentation
bin100010010011101…
…010011111000000
31111010001111110100
4202103222133000
52134322030341
6133040402400
720156231040
oct4223523700
91433044410
10575580096
11275999933
12140916400
1392328750
145662b720
15357e73b6
hex224ea7c0

575580096 has 336 divisors, whose sum is σ = 2071014400. Its totient is φ = 148801536.

The previous prime is 575580073. The next prime is 575580097. The reversal of 575580096 is 690085575.

575580096 is a `hidden beast` number, since 5 + 7 + 558 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5755800962 = 662584893822738432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575580097) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4140795 + ... + 4140933.

Almost surely, 2575580096 is an apocalyptic number.

575580096 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 575580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035507200).

575580096 is an abundant number, since it is smaller than the sum of its proper divisors (1495434304).

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

575580096 is a wasteful number, since it uses less digits than its factorization.

575580096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 575580096 is about 23991.2504050956. The cubic root of 575580096 is about 831.8312959225.

The spelling of 575580096 in words is "five hundred seventy-five million, five hundred eighty thousand, ninety-six".