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575500464 = 24347117379
BaseRepresentation
bin100010010011010…
…111000010110000
31111002220110020000
4202103113002300
52134312003324
6133034550000
720155446630
oct4223270260
91432813200
10575500464
11275945020
12140898300
13922cb426
145660a6c0
15357cd9c9
hex224d70b0

575500464 has 400 divisors, whose sum is σ = 2131768320. Its totient is φ = 145566720.

The previous prime is 575500427. The next prime is 575500487. The reversal of 575500464 is 464005575.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7284777 + ... + 7284855.

Almost surely, 2575500464 is an apocalyptic number.

575500464 is a gapful number since it is divisible by the number (54) 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 575500464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065884160).

575500464 is an abundant number, since it is smaller than the sum of its proper divisors (1556267856).

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

575500464 is a wasteful number, since it uses less digits than its factorization.

575500464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 575500464 is about 23989.5907426534. The cubic root of 575500464 is about 831.7929326288.

The spelling of 575500464 in words is "five hundred seventy-five million, five hundred thousand, four hundred sixty-four".