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575106048 = 21033113161
BaseRepresentation
bin100010010001110…
…110110000000000
31111002011102012000
4202101312300000
52134211343143
6133022304000
720152215006
oct4221666000
91432142160
10575106048
112756a5760
12140728000
13921c0a4a
1456546a76
1535751bd3
hex22476c00

575106048 has 352 divisors, whose sum is σ = 1949399040. Its totient is φ = 165888000.

The previous prime is 575106043. The next prime is 575106151. The reversal of 575106048 is 840601575.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575106043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9427938 + ... + 9427998.

Almost surely, 2575106048 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 575106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974699520).

575106048 is an abundant number, since it is smaller than the sum of its proper divisors (1374292992).

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

575106048 is a wasteful number, since it uses less digits than its factorization.

575106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 575106048 is about 23981.3687682751. The cubic root of 575106048 is about 831.6028676692.

The spelling of 575106048 in words is "five hundred seventy-five million, one hundred six thousand, forty-eight".