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575440992 = 253271983181
BaseRepresentation
bin100010010011001…
…000100001100000
31111002210102122100
4202103020201200
52134303102432
6133033410400
720155111350
oct4223104140
91432712570
10575440992
11275904375
12140869a00
13922aa339
14565d2b60
15357bb07c
hex224c8860

575440992 has 288 divisors, whose sum is σ = 2003339520. Its totient is φ = 153031680.

The previous prime is 575440967. The next prime is 575441029. The reversal of 575440992 is 299044575.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5754409922 = 662264670547888128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3179142 + ... + 3179322.

It is an arithmetic number, because the mean of its divisors is an integer number (6956040).

Almost surely, 2575440992 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 575440992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001669760).

575440992 is an abundant number, since it is smaller than the sum of its proper divisors (1427898528).

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

575440992 is a wasteful number, since it uses less digits than its factorization.

575440992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 575440992 is about 23988.3511730173. The cubic root of 575440992 is about 831.7642792529.

The spelling of 575440992 in words is "five hundred seventy-five million, four hundred forty thousand, nine hundred ninety-two".