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575661240 = 23325711191093
BaseRepresentation
bin100010010011111…
…110010010111000
31111010012121202200
4202103332102320
52134332124430
6133042230200
720160016440
oct4223762270
91433177680
10575661240
11275a448a0
12140955360
139235666b
145664d120
1535811460
hex224fe4b8

575661240 has 384 divisors, whose sum is σ = 2457561600. Its totient is φ = 113218560.

The previous prime is 575661187. The next prime is 575661263. The reversal of 575661240 is 42166575.

It is a happy number.

575661240 is a `hidden beast` number, since 57 + 566 + 1 + 2 + 40 = 666.

575661240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 575661195 and 575661204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526134 + ... + 527226.

It is an arithmetic number, because the mean of its divisors is an integer number (6399900).

Almost surely, 2575661240 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 575661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228780800).

575661240 is an abundant number, since it is smaller than the sum of its proper divisors (1881900360).

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

575661240 is a wasteful number, since it uses less digits than its factorization.

575661240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 575661240 is about 23992.9414620217. The cubic root of 575661240 is about 831.8703839935.

The spelling of 575661240 in words is "five hundred seventy-five million, six hundred sixty-one thousand, two hundred forty".